GCD of 513, 311, 864, 756 Calculator

Given Input numbers are 513, 311, 864, 756

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

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

GCD of numbers is the greatest common divisor

So, the GCD (513, 311, 864, 756) = 1.

Given numbers are 513, 311, 864, 756

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 311 are 311

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

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

Given numbers are 513, 311, 864, 756

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

Apply this formula for all numbers.

Step1:

LCM(513, 311) = 159543

GCD(513, 311) = ( 513 x 311 ) / 159543

= 513 / 311

= 513

Step2:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 513, 311, 864, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 671, 479, 644
• GCD of 515, 934, 196, 730
• GCD of 507, 801, 189, 500
• GCD of 985, 587, 942, 348
• GCD of 522, 326, 318, 339

Given numbers are 513, 311, 864, 756
The greatest common divisor of numbers 513, 311, 864, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 311, 864, 756 is 1.

1. What is the GCD of 513, 311, 864, 756?

GCD of given numbers 513, 311, 864, 756 is 1

2. How to calculate the greatest common divisor of 513, 311, 864, 756?

We can find the highest common divisor of 513, 311, 864, 756 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 513, 311, 864, 756 i.e 1.

3. How can I use the GCD of 513, 311, 864, 756Calculator?

Out the numbers 513, 311, 864, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.