GCD of 564, 500, 532, 572 Calculator

Given Input numbers are 564, 500, 532, 572

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (564, 500, 532, 572) = 4.

Given numbers are 564, 500, 532, 572

The list of prime factors of all numbers are

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2²

Therefore, GCD of 564, 500, 532, 572 is 4.

Given numbers are 564, 500, 532, 572

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

Apply this formula for all numbers.

Step1:

LCM(564, 500) = 70500

GCD(564, 500) = ( 564 x 500 ) / 70500

= 564 / 500

= 564

Step2:

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

= 4 / 532

= 4

Step3:

LCM(4, 572) = 572

GCD(4, 572) = ( 4 x 572 ) / 572

= 4 / 572

= 4

So, Greatest Common Divisor of 564, 500, 532, 572 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 701, 589, 465
• GCD of 695, 248, 148, 909
• GCD of 184, 710, 695, 186
• GCD of 314, 505, 405, 730
• GCD of 762, 810, 367, 384

Given numbers are 564, 500, 532, 572
The greatest common divisor of numbers 564, 500, 532, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 500, 532, 572 is 4.

1. What is the GCD of 564, 500, 532, 572?

GCD of given numbers 564, 500, 532, 572 is 4

2. How to calculate the greatest common divisor of 564, 500, 532, 572?

We can find the highest common divisor of 564, 500, 532, 572 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, 500, 532, 572 i.e 4.

3. How can I use the GCD of 564, 500, 532, 572Calculator?

Out the numbers 564, 500, 532, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.