# Greatest common divisor calculator

### GCD(21, 8) = 1

##### 21 = 3×7

##### 8 = 2^{3}

##### GCD = 1

#### 21 / 1 = 21

#### 8 / 1 = 8

### What is GCD?

The greatest common divisor (gcd/GCD), or 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.

## Questions and word problems to GCD

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The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.

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