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GCD of 532, 650, 392, 564 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 532, 650, 392, 564 quickly. Get the easiest ways to solve the greatest common divisor of 532, 650, 392, 564 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 532, 650, 392, 564 with Factoring?

Given Input numbers are 532, 650, 392, 564

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

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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


GCD of numbers is the greatest common divisor

So, the GCD (532, 650, 392, 564) = 2.

Find GCD of 532, 650, 392, 564 using Prime Factorization

Given numbers are 532, 650, 392, 564

The list of prime factors of all numbers are

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

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

The highest common occurrence is 21

Therefore, GCD of 532, 650, 392, 564 is 2.

Steps to Calculate GCD of 532, 650, 392, 564 using LCM Formula

Given numbers are 532, 650, 392, 564

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

Apply this formula for all numbers.

Step1:

LCM(532, 650) = 172900

GCD(532, 650) = ( 532 x 650 ) / 172900

= 532 / 650

= 532


Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2


Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2


So, Greatest Common Divisor of 532, 650, 392, 564 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 532, 650, 392, 564

Given numbers are 532, 650, 392, 564
The greatest common divisor of numbers 532, 650, 392, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 650, 392, 564 is 2.

FAQs on GCD of 532, 650, 392, 564 Calculator

1. What is the GCD of 532, 650, 392, 564?

GCD of given numbers 532, 650, 392, 564 is 2


2. How to calculate the greatest common divisor of 532, 650, 392, 564?

We can find the highest common divisor of 532, 650, 392, 564 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 532, 650, 392, 564 i.e 2.


3. How can I use the GCD of 532, 650, 392, 564Calculator?

Out the numbers 532, 650, 392, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.