Greatest common divisor (GCD) - practice problems - page 3 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
- Lengths 69314
We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number. - Two-digit 68654
List all compound positive two-digit numbers whose greatest common divisor with the number 51 is the number 17. - 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? - Rectangular 64554
We must draw a square grid on a rectangular plate measuring 154 cm and 210 cm. What should be the side length of the largest possible box? How many fields will be on the board?
- The GCF
If the GCF is 40 and the number is 8, what is the number if it lies between 70 and 80? - Lcm and hcf
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = … - Rey collected
Rey collected three glasses of colored marbles. The first glass had 27 red marbles, the second had 36 green marbles, and the third had 54 blue marbles. He placed the marbles into a set of boxes of each kind. What is the greatest number of marbles that he - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete
- Simplest form 3
What fraction is 15 of 35 in simplest form? - Readers club
The local reader's club has a set of 28 hardback books and a set of 44 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members? - Mangoes
Chris has 12 mangoes, and Jay has 18 mangoes. Each of them will share the mangoes with their friends. What's the greatest number of mangoes each of their friends gets if Chris and Jay give the same number of mangoes? - 6/24 change
6/24 chance to a fraction in the lowest terms - 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
- We bought
We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them? - Jordan
Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy up to six cookie cakes, and Jordan must share the cakes equally with his classmates (and himself). Answer the questions to help Jordan decide - Coloured numbers Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it
- Two hundred
Two hundred ten athletes competed in three athletics races on three fields. One hundred-five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Although compet - The classroom
The classroom is 9 meters long. Its width is smaller and can be passed in equally long steps of 55 CM or 70 CM. Find the width of the classroom.
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
