# Greatest common divisor (GCD) + natural numbers - math problems

#### Number of problems found: 40

- Decompose

Decompose into primes and find the smallest common multiple n of (16,20) and the largest common divisor D of the pair of numbers (140,100) - Common divisors

Find all common divisors of numbers 30 and 45. - Quotient

Find quotient before the bracket - the largest divisor 51 a + 34 b + 68 121y-99z-33 - Seven numbers

Write seven 4-digit numbers that are divisible by 3 and at the same time by 4. - Diofant 2

Is equation ? solvable on the set of integers Z? - Reminder and quotient

There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1, - MO C–I–1 2018

An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Length of a string

What is the smallest length of a string that we can cut into 18 equal parts and even 27 equal parts (in decimeters)? - Seedcake

Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros? - Florist

Florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - Tissues

The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than - Largest squares

How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm? - Chairs

In the two dining rooms in the recreational building, there are equally arranged chairs around the tables. A maximum of 78 people can dine in the first dining room and 54 people in the second. How many chairs can be around one table? - Diofant equation

In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions) - Wide field

The field is 203 meters wide 319 meter long, what is the greater length of the rope by which length and width can be measured and find the exact number of time. - The classroom

The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Determine the width of the classroom. - Ornamental shrubs

Children committed to planting 240 ornamental shrubs. Their commitment, however, exceeded by 48 shrubs. Write the ratio of actually planted shrubs and commitment by lowest possible integers a/b. - Blades

1st blade 2,5 m, 2nd blade. .1.75 m. How many same long pieces of this two blades can be do the biggest? How long is one piece? - 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. - 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?

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