GCD of 864, 516, 872, 357 Calculator

Given Input numbers are 864, 516, 872, 357

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (864, 516, 872, 357) = 1.

Given numbers are 864, 516, 872, 357

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 516 are 2 x 2 x 3 x 43

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 864, 516, 872, 357

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

Apply this formula for all numbers.

Step1:

LCM(864, 516) = 37152

GCD(864, 516) = ( 864 x 516 ) / 37152

= 864 / 516

= 864

Step2:

LCM(12, 872) = 2616

GCD(12, 872) = ( 12 x 872 ) / 2616

= 12 / 872

= 12

Step3:

LCM(4, 357) = 1428

GCD(4, 357) = ( 4 x 357 ) / 1428

= 4 / 357

= 4

So, Greatest Common Divisor of 864, 516, 872, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 886, 795, 214
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Given numbers are 864, 516, 872, 357
The greatest common divisor of numbers 864, 516, 872, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 516, 872, 357 is 1.

1. What is the GCD of 864, 516, 872, 357?

GCD of given numbers 864, 516, 872, 357 is 1

2. How to calculate the greatest common divisor of 864, 516, 872, 357?

We can find the highest common divisor of 864, 516, 872, 357 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, 516, 872, 357 i.e 1.

3. How can I use the GCD of 864, 516, 872, 357Calculator?

Out the numbers 864, 516, 872, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.