GCD of 864, 756, 613, 725 Calculator

Given Input numbers are 864, 756, 613, 725

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 613 :

The positive integer divisors of 613 that completely divides 613 are.

1, 613

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (864, 756, 613, 725) = 1.

Given numbers are 864, 756, 613, 725

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 613 are 613

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 864, 756, 613, 725

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

Apply this formula for all numbers.

Step1:

LCM(864, 756) = 6048

GCD(864, 756) = ( 864 x 756 ) / 6048

= 864 / 756

= 864

Step2:

LCM(108, 613) = 66204

GCD(108, 613) = ( 108 x 613 ) / 66204

= 108 / 613

= 108

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 864, 756, 613, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 679, 575, 572
• GCD of 217, 869, 218, 554
• GCD of 557, 898, 919, 394
• GCD of 923, 759, 124, 746
• GCD of 601, 430, 354, 944

Given numbers are 864, 756, 613, 725
The greatest common divisor of numbers 864, 756, 613, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 756, 613, 725 is 1.

1. What is the GCD of 864, 756, 613, 725?

GCD of given numbers 864, 756, 613, 725 is 1

2. How to calculate the greatest common divisor of 864, 756, 613, 725?

We can find the highest common divisor of 864, 756, 613, 725 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 864, 756, 613, 725 i.e 1.

3. How can I use the GCD of 864, 756, 613, 725Calculator?

Out the numbers 864, 756, 613, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.