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GCD of 326, 564, 320, 152 Calculator

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


Online GCD Calculator is useful to find the GCD of 326, 564, 320, 152 quickly. Get the easiest ways to solve the greatest common divisor of 326, 564, 320, 152 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 326, 564, 320, 152 with Factoring?

Given Input numbers are 326, 564, 320, 152

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

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152


GCD of numbers is the greatest common divisor

So, the GCD (326, 564, 320, 152) = 2.

Find GCD of 326, 564, 320, 152 using Prime Factorization

Given numbers are 326, 564, 320, 152

The list of prime factors of all numbers are

Prime factors of 326 are 2 x 163

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 21

Therefore, GCD of 326, 564, 320, 152 is 2.

Steps to Calculate GCD of 326, 564, 320, 152 using LCM Formula

Given numbers are 326, 564, 320, 152

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

Apply this formula for all numbers.

Step1:

LCM(326, 564) = 91932

GCD(326, 564) = ( 326 x 564 ) / 91932

= 326 / 564

= 326


Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2


So, Greatest Common Divisor of 326, 564, 320, 152 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 326, 564, 320, 152

Given numbers are 326, 564, 320, 152
The greatest common divisor of numbers 326, 564, 320, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 564, 320, 152 is 2.

FAQs on GCD of 326, 564, 320, 152 Calculator

1. What is the GCD of 326, 564, 320, 152?

GCD of given numbers 326, 564, 320, 152 is 2


2. How to calculate the greatest common divisor of 326, 564, 320, 152?

We can find the highest common divisor of 326, 564, 320, 152 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 326, 564, 320, 152 i.e 2.


3. How can I use the GCD of 326, 564, 320, 152Calculator?

Out the numbers 326, 564, 320, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.