Greatest common divisor (GCD) - practice problems - page 2 of 8
The greatest common divisor (GCD) of the integers is the largest positive integer that divides each of the integers. Also called as highest common factor (HCF). Greatest common divisors can be computed by the prime factorizations of the numbers and comparing factors.Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 156
- A tailor
A tailor bought 72 meters of white cloth and 16 meters of blue cloth. The material was cut into equal lengths to make a school uniform. What was the greatest length of each piece of cloth that was cut? - Two pieces Two pieces of cloth 15 and 20 meters long are to be cut into small pieces of equal lengths. What will be the greatest length of each piece?
- Composition 83241
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - 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?
- Centimeters 82756
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Altogether 82457
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether? - 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? - Three-day trip
George went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if George drove - Dimensions 80848
We want to cover a wall with dimensions of 4m x 250cm with square marble tiles with the largest possible dimensions of the sides of the tiles so that there are no losses caused, for example, by cutting them during tiling. How many tiles will we need for t
- Determines 80517
Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76 - 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? - The grocery
Susan has decided to make grocery combos for her shop. The wholesaler she buys from sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and 15 bags of rice in a carton. How many of each item should she buy so there are an equal numb - Greatest common factor What is the GCF of 8 and 20?
- Fertilizers 80357
A rectangular bed 3960 cm long and 825 cm wide needs to be divided into several equal square sectors on which scientists will test different fertilizers. Into what is the smallest number of sectors this bed can be divided?
- Reduce ratio
Express the following ratio in simplest form: 30:42 - Leftovers from boards
The carpenter has three boards 360 cm, 27 dm and 450 cm long, and he wants to cut them into boards of the same length so that there are no leftovers. What will the board be to make it as long as possible? - Hamburgers 79184
Two sellers, each in their stand, sold hamburgers at the same price, expressed as a natural number in CZK greater than 30. The first seller received 1260 CZK, and the second received only 792 CZK. How much CZK did 1 hamburger cost? How many hamburgers did - Three 205 Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars.
- 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?
Determine the number by which all these numbers, 22, 18, 25, 15, 35, and 10, are divisible without remainder. The number is greater than 1.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
