GCD of 716, 456, 636, 718 Calculator

Given Input numbers are 716, 456, 636, 718

In the factoring method, we have to find the divisors of all numbers

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (716, 456, 636, 718) = 2.

Given numbers are 716, 456, 636, 718

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 716, 456, 636, 718 is 2.

Given numbers are 716, 456, 636, 718

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(716, 456) = 81624

GCD(716, 456) = ( 716 x 456 ) / 81624

= 716 / 456

= 716

Step2:

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

= 4 / 636

= 4

Step3:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

So, Greatest Common Divisor of 716, 456, 636, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 416, 238, 484
• GCD of 430, 558, 320, 661
• GCD of 974, 245, 605, 924
• GCD of 701, 139, 538, 669
• GCD of 854, 990, 753, 688

Given numbers are 716, 456, 636, 718
The greatest common divisor of numbers 716, 456, 636, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 456, 636, 718 is 2.

1. What is the GCD of 716, 456, 636, 718?

GCD of given numbers 716, 456, 636, 718 is 2

2. How to calculate the greatest common divisor of 716, 456, 636, 718?

We can find the highest common divisor of 716, 456, 636, 718 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 716, 456, 636, 718 i.e 2.

3. How can I use the GCD of 716, 456, 636, 718Calculator?

Out the numbers 716, 456, 636, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.