GCD of 864, 766, 580, 351 Calculator

Given Input numbers are 864, 766, 580, 351

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (864, 766, 580, 351) = 1.

Given numbers are 864, 766, 580, 351

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 766 are 2 x 383

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 351 are 3 x 3 x 3 x 13

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

Given numbers are 864, 766, 580, 351

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

Apply this formula for all numbers.

Step1:

LCM(864, 766) = 330912

GCD(864, 766) = ( 864 x 766 ) / 330912

= 864 / 766

= 864

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

= 2 / 351

= 2

So, Greatest Common Divisor of 864, 766, 580, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 596, 600, 660
• GCD of 362, 922, 199, 246
• GCD of 941, 541, 769, 112
• GCD of 269, 351, 644, 819
• GCD of 646, 708, 150, 141

Given numbers are 864, 766, 580, 351
The greatest common divisor of numbers 864, 766, 580, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 766, 580, 351 is 1.

1. What is the GCD of 864, 766, 580, 351?

GCD of given numbers 864, 766, 580, 351 is 1

2. How to calculate the greatest common divisor of 864, 766, 580, 351?

We can find the highest common divisor of 864, 766, 580, 351 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, 766, 580, 351 i.e 1.

3. How can I use the GCD of 864, 766, 580, 351Calculator?

Out the numbers 864, 766, 580, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.