Natural numbers + greatest common divisor (GCD) - practice problems - page 2 of 5
Number of problems found: 90
- Sports students
The school has 120 athletes, 48 volleyball players, and 72 handball players with extended sports training. Is it possible to divide sports students into groups so that the number in each group is the same and expressed by the largest possible number? - Steamers 67804
Two steamers set out on a voyage from the same port. The first steamer returns to port every fourth day, and the second steamer returns every fifth. How many days do they meet again? - Part-time workers
On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked in the first field, 60 in the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e - Pegs
From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be?
- Sponsor
The children of the tennis school received 64 white and 48 yellow balls from the sponsor. When asked about how many balls they could take, they answered: "You have so many that none of you will have more than ten balls, and all will have the same number o - Three friends
Three friends had balls in a ratio of 2:7:4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together. - Apples and pears
Mom divided 24 apples and 15 pears among the children. Each child received the same number of apples and pears - the same number as their siblings. How many apples (j=?) and pears (h=?) were received for each child? - Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - Smallest 4692
A. Find the largest natural number by which the numbers 54 and 72 can be divided (120, 60, and 42) B. Find the smallest natural number that can be divided by each of the numbers 36 and 48 (24,18 and 16)
- Groups
In the 6th class, there are 60 girls and 72 boys. We want to divide them into groups so that the number of girls and boys is the same. How many groups can you create? How many girls will be in the group? - Students 82381
Sixth graders received 264 pencils and 330 pens. How many students can be in this class so that each student gets the same number of pencils and pens? How many pens and pencils does each student get? - Ornamental shrubs
Children committed to planting 240 ornamental shrubs. Their commitment, however, was exceeded by 48 shrubs. Write the ratio (r) of actually planted shrubs and commitment by the lowest possible integers a/b. - Susan 3
Susan has 90 sweets, 36 chocolates, and 60 jellies. She wants to pack the items equally into goodie bags without any leftover items. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag? - Christmas 83125
Parents are making Christmas gazebos/packages for children. We have 96 apples, 320 candies, 80 gum, 112 nuts. How many identical packages can I make from a given material?
- Bouquets 80478
At the flower shop, they received 72 white roses and 96 red roses. What is the maximum number of bouquets they can tie to all these roses if each bouquet is to have the same number of white roses as red roses? - Neither 4182
Hanka gave Simon a riddle: guess a pair of numbers whose GCD is 7, and LCM is 90. Katy wanted Šimon to guess such a pair for which GCD is 7, and LCM is 91. Which riddle could Šimon guess? A: Katy B: Hankina C: neither D: Both - Competition 5095
Ninety boys and 48 girls signed up for the sports competition. How many members of boys' and girls' teams can we assemble so that they have the largest number of members and the same number of members in the boys' and girls' teams? - Florist
The florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - Wide field
The field is 203 meters wide and 319 meters long. What is the greater length of the rope by which length and width can be measured? Find the exact number of times.
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