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GCD of 612, 358, 912, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 612, 358, 912, 920 quickly. Get the easiest ways to solve the greatest common divisor of 612, 358, 912, 920 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 612, 358, 912, 920 with Factoring?

Given Input numbers are 612, 358, 912, 920

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (612, 358, 912, 920) = 2.

Find GCD of 612, 358, 912, 920 using Prime Factorization

Given numbers are 612, 358, 912, 920

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 358 are 2 x 179

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 612, 358, 912, 920 is 2.

Steps to Calculate GCD of 612, 358, 912, 920 using LCM Formula

Given numbers are 612, 358, 912, 920

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

Apply this formula for all numbers.

Step1:

LCM(612, 358) = 109548

GCD(612, 358) = ( 612 x 358 ) / 109548

= 612 / 358

= 612


Step2:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2


Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2


So, Greatest Common Divisor of 612, 358, 912, 920 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 612, 358, 912, 920

Given numbers are 612, 358, 912, 920
The greatest common divisor of numbers 612, 358, 912, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 358, 912, 920 is 2.

FAQs on GCD of 612, 358, 912, 920 Calculator

1. What is the GCD of 612, 358, 912, 920?

GCD of given numbers 612, 358, 912, 920 is 2


2. How to calculate the greatest common divisor of 612, 358, 912, 920?

We can find the highest common divisor of 612, 358, 912, 920 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 612, 358, 912, 920 i.e 2.


3. How can I use the GCD of 612, 358, 912, 920Calculator?

Out the numbers 612, 358, 912, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.