Greatest common divisor (GCD) - practice problems - page 6 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.Number of problems found: 156
- Dimensions 6201
Mr. John's plot of land has dimensions of 252 dm and 28 m. How far apart must he place the fence posts so they are the same distance on both sides? How many will he need to fence the entire property?
- Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women
- University students
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month
- On Children's
On Children's Day, the organizers bought 252 chewing gums, 396 candies, and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way.
- Circumference of the garden
The garden is 90 m long. What is the smallest width if it is possible to walk (circumference) in steps of 80 cm or 50 cm?
- Different 5402
Adélka had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she
- 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?
- Gardens colony
The garden's colony, with dimensions of 180 m and 300 m, is to be completely divided into the same large squares of the highest area. Calculate how many such squares can be obtained and determine the length of the square side.
- Paving - joints
We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and the second row in width etc. How many times will the joints meet at a distance of 10 m?
- 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.
- Garden
The garden is rectangular, measuring 19m 20cm and 21m 60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent pillars to b
- 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?
- LCD 2
The least common denominator of 2/5, 1/2, and 3/4
- Fraction 4887
Express a fraction of what a 24-hour portion is, 80 minutes.
- Rectangular 4819
Divide the rectangular meadow with dimensions of 1280m and 320m into a square shepherd with the longest possible side of the square. How many square pastures did you divide the meadow?
- 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)
- Blades
1st blade 2,5 m, 2nd blade. .1.75 m. How many of the same long pieces of these two blades can do the biggest? How long is one piece?
- 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 take, and how many will there be?
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