greatest common factor

21 apples and 49 pears. What is the largest number of baskets to make and still use up all the fruit We use our greatest common factor calculator for GCF(21, 49) to get: GCF(21, 49) = 7 This means with 7 baskets: We divide 21 apples by 7 to get 3 apples per basket We divide 49 pears by 7 to...

Mrs. Evans has 120 crayons and 30 pieces of paper to give her students. What is the largest number of students she can have her class so that each student gets an equal number of crayons and equal number of paper? Using our GCF calculator for the GCF(30, 120), we get 30. So 30 people get the...

You are making identical gift bags using 24 candles and 36 bottles of lotion. What is the greatest number of gift bags you can make with no items left over? We take the greatest common factor GCF (24, 36) = 12 So we have a ratio of 24/12 = 2 candles and 36/12 = 3 bottles of lotion per bag...

If x/2y = 3/4, what is the value of y/x? Cross multiply this proportion: 4x = 3(2y) 4x = 6y Divide each side by x: 4x/x = 6y/x The x's cancel, and we have: 6y/x = 4 Divide each side by 6: 6y/6x = 4/6 The 6's on the left cancel, we have: y/x = 4/6 We can simplify this. Type in Simplify 4/6...

If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars? Write your answer as a fraction of a box. Set up a proportion of dollars to boxes where b is the number of boxes for $4: 6/1/3 = 4/b Cross multiply: 6b = 4/3 Multiply each side by 1/6 to isolate...

a cookie jar contains 3 vanilla, 2 chocolate chip, and 7 gingersnap cookies. Of one cookie is taken at random from the jar, what is the probability that it will be a vanilla cookie? Total cookies = 3 + 2 + 7 Total cookies = 12 P(Vanilla) = Vanilla Cookies / Total Cookies P(Vanilla) = 3/12...

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day. How much time should we spend sleeping? Multiply 24 hours per day * 3/8 day Since 24/8 = 3, we have: 3 * 3 = 9 hours of sleep.

If Susie sleeps for 8 hours, what fraction of the day is she asleep? A day has 24 hours, so Susie slept 8/24 of a day. Using our fraction simplifier, we get 8/24 = 1/3 of a day.

There are 1 carrot, 3 onions, and 2 potatoes in a sink. What fraction of the vegetables are onions? We have 1 + 3 + 2 = 6 total vegetables. Which means we have 3/6 onions. But, we can reduce this fraction. Simplifying 3/6 using our fraction simplifier, we get 1/2.

John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane? John's red ratio = 18/30 Using a...

Juliana answered 42 times correctly on an 80-item quiz, while her sister Angela answered 21 items correctly on a 40-item quiz. Do they have the same portion of correct answers? Let's compare based on correct answers to questions: Juliana = 42/80 = 0.525 Angela = 21/40 = 0.525 So yes, they do...

Olivia spends 5 hours a day at school and sleeps for 9 hours a day. What fraction of the day does she have left for other activities? Write your answer as a fraction in its simplest form. Add up existing hours for school and sleep School + sleep = 5 + 9 = 14 hours Since there are 24 hours in a...

A wood screw advances 1/16 inch for each complete turn. How far will the screw advance in 8 complete turns 1/6 inch per turn x 8 complete turns = 8/16. Enter 8/16 into the search engine. Choose simplify. Using our simplify fraction calculator, we get 8/16 simplified is 1/2 of a turn.

Harry got 42 out of 49 correct in his test. What fraction of the marks did he get correct? The fraction correct is: 42/49 Both the numerator and denominator have a common factor of 7 Reducing top and bottom by 7, we get: 6/7

A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over all the containers of eggs. Though she is unhurt, every egg is broken. So she goes to her insurance agent, who asks her how many eggs she had. She says she doesn't know, but she remembers...

24 coloring books, 60 crayons, and 84 markers can be packaged into at most how many identical packages? How many of each would each package contain? First, determine the greatest common factor (GCF) of 24, 60, and 84 using our GCF calculator. GCF(24, 60, 84) = 12 So we have 12 identical...

Jack is making snack bags. He has 18 baby carrots and 42 pretzels. He wants to divide them equally among the bags. What is the greatest number of snack bags he can make? Find the Greatest Common Factor of (18, 42) = 6 6 bags for 18 carrots = 3 carrots per bag 6 bags for 42 pretzels = 7...

H.C.F of 13 and 52 = 13 L.C.M. of 13 and 52 = 208