Greatest common divisor (GCD) - practice problems - page 4 of 8
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 144
- 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? - Children's home
The children's home received a gift from Nicholas of 54 oranges, 81 chocolate figurines, and 135 apples. Every child received the same gift, and nothing was left. a) How many packages could be prepared? b) what did the children find in the package? - Dividing
Divide the three-line segments 13 cm, 26 cm, and 19.5 cm long for parts so that the individual pieces are equally long and longest. How long will the individual parts, and how many will it? - Square tiles
The room has dimensions of 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor. - Tiles
Hall has dimensions 250 × 200 dm. What is the largest size of square tiles that can be entire hall tiled, and how many do we need them? - Diofant equation
In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions) - 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? - Dimensions 7131
The paper has dimensions 220mm and 308mm. We need to cut it into as large a square as possible. What will be the side of this square? - 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. - Cutting paper
Divide a rectangular paper with dimensions 220mm and 308mm into squares of the same size so that they are as large as possible. Specify the length of the side of the square. - 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? - Cubes
Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes. - 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) - Matemakak 9432
The cookbook by Matěj Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest c - Purchased 4522
Ten friends decided to go hiking. They bought food supplies for 9 days. Before starting hiking, 4 boys fell ill. How many days can the boys extend their stay if they take the purchased food supply? - The wooden
The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get? - 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? - Cinema 4584
There are 15 seats in the cinema. How many seats are there in the cinema, if we know we will say that there are more than 390 but less than 410.
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