GCD of 564, 736, 568 Calculator

Given Input numbers are 564, 736, 568

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

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

GCD of numbers is the greatest common divisor

So, the GCD (564, 736, 568) = 4.

Given numbers are 564, 736, 568

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 568 are 2 x 2 x 2 x 71

The highest common occurrence is 2²

Therefore, GCD of 564, 736, 568 is 4.

Given numbers are 564, 736, 568

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

Apply this formula for all numbers.

Step1:

LCM(564, 736) = 103776

GCD(564, 736) = ( 564 x 736 ) / 103776

= 564 / 736

= 564

Step2:

LCM(4, 568) = 568

GCD(4, 568) = ( 4 x 568 ) / 568

= 4 / 568

= 4

So, Greatest Common Divisor of 564, 736, 568 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 839, 251
• GCD of 379, 360, 627
• GCD of 707, 637, 779
• GCD of 204, 889, 951
• GCD of 873, 643, 622

Given numbers are 564, 736, 568
The greatest common divisor of numbers 564, 736, 568 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 736, 568 is 4.

1. What is the GCD of 564, 736, 568?

GCD of given numbers 564, 736, 568 is 4

2. How to calculate the greatest common divisor of 564, 736, 568?

We can find the highest common divisor of 564, 736, 568 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 564, 736, 568 i.e 4.

3. How can I use the GCD of 564, 736, 568Calculator?

Out the numbers 564, 736, 568 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.