GCD of 861, 696, 756, 724 Calculator

Given Input numbers are 861, 696, 756, 724

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (861, 696, 756, 724) = 1.

Given numbers are 861, 696, 756, 724

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 724 are 2 x 2 x 181

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 861, 696, 756, 724

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

Apply this formula for all numbers.

Step1:

LCM(861, 696) = 199752

GCD(861, 696) = ( 861 x 696 ) / 199752

= 861 / 696

= 861

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

So, Greatest Common Divisor of 861, 696, 756, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 171, 782, 121
• GCD of 518, 790, 355, 132
• GCD of 259, 811, 631, 804
• GCD of 538, 491, 439, 682
• GCD of 272, 716, 675, 771

Given numbers are 861, 696, 756, 724
The greatest common divisor of numbers 861, 696, 756, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 696, 756, 724 is 1.

1. What is the GCD of 861, 696, 756, 724?

GCD of given numbers 861, 696, 756, 724 is 1

2. How to calculate the greatest common divisor of 861, 696, 756, 724?

We can find the highest common divisor of 861, 696, 756, 724 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 861, 696, 756, 724 i.e 1.

3. How can I use the GCD of 861, 696, 756, 724Calculator?

Out the numbers 861, 696, 756, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.