GCD of 808, 564, 756, 596 Calculator

Given Input numbers are 808, 564, 756, 596

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (808, 564, 756, 596) = 4.

Given numbers are 808, 564, 756, 596

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 2²

Therefore, GCD of 808, 564, 756, 596 is 4.

Given numbers are 808, 564, 756, 596

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

Apply this formula for all numbers.

Step1:

LCM(808, 564) = 113928

GCD(808, 564) = ( 808 x 564 ) / 113928

= 808 / 564

= 808

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

= 4 / 596

= 4

So, Greatest Common Divisor of 808, 564, 756, 596 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 570, 468, 675
• GCD of 374, 416, 534, 591
• GCD of 748, 208, 861, 941
• GCD of 569, 373, 476, 913
• GCD of 135, 128, 735, 888

Given numbers are 808, 564, 756, 596
The greatest common divisor of numbers 808, 564, 756, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 564, 756, 596 is 4.

1. What is the GCD of 808, 564, 756, 596?

GCD of given numbers 808, 564, 756, 596 is 4

2. How to calculate the greatest common divisor of 808, 564, 756, 596?

We can find the highest common divisor of 808, 564, 756, 596 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 808, 564, 756, 596 i.e 4.

3. How can I use the GCD of 808, 564, 756, 596Calculator?

Out the numbers 808, 564, 756, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.