# Greatest common divisor (GCD) - math word problems

#### Number of problems found: 60

• 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
• LCD 2 The least common denominator of 2/5, 1/2, and 3/4
• Diofant 2 Is equation ? solvable on the set of integers Z?
• Seven numbers Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.
• Self A math text book is 2 2/9 inches thick. how many of these books will fit on a 120-inch self?
• Bicycle wheels Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
• 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
• 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)?
• 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.
• School books At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?
• 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?
• 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,
• 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?
• Children's home The children's home received a gift to 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?
• Tiles Hall has dimensions 325 &time; 170 dm. What is the largest size of square tiles that can be entire hall tiled and how many we need them?
• 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)

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