# Greatest common factor calculator

### What is GCF?

The greatest common factor (gcf), or highest common factor (hcf), of two or more integers (at least one of which is not zero), is the largest positive integer that divides the numbers without a remainder. It is the highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions. The greatest common factor is useful for reducing fractions to be in lowest terms.

## Questions and word problems to GCF

- Neither 4182

Hanka gave Simon a riddle: guess a pair of numbers whose GCD is 7, and LCM is 90. Katy wanted Šimon to guess such a pair for which GCD is 7, and LCM is 91. Which riddle could Šimon guess? A: Katy B: Hankina C: neither D: Both - Reminder and quotient

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

The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Granddaughter 2789

Grandma and her granddaughter Barunka have a birthday on the same day. During six consecutive birthday celebrations, Grandma's age was always divisible by Barunka's age. How many birthdays did Grandma celebrate at the last of these six celebrations? Grand - Decompose 3076

Decompose into primes and find the greatest divisor of the pair of numbers D (84.70).

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