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GCD of 924, 906, 627 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 906, 627 quickly. Get the easiest ways to solve the greatest common divisor of 924, 906, 627 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 906, 627 with Factoring?

Given Input numbers are 924, 906, 627

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627


GCD of numbers is the greatest common divisor

So, the GCD (924, 906, 627) = 3.

Find GCD of 924, 906, 627 using Prime Factorization

Given numbers are 924, 906, 627

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 906 are 2 x 3 x 151

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 31

Therefore, GCD of 924, 906, 627 is 3.

Steps to Calculate GCD of 924, 906, 627 using LCM Formula

Given numbers are 924, 906, 627

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

Apply this formula for all numbers.

Step1:

LCM(924, 906) = 139524

GCD(924, 906) = ( 924 x 906 ) / 139524

= 924 / 906

= 924


Step2:

LCM(6, 627) = 1254

GCD(6, 627) = ( 6 x 627 ) / 1254

= 6 / 627

= 6


So, Greatest Common Divisor of 924, 906, 627 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 906, 627

Given numbers are 924, 906, 627
The greatest common divisor of numbers 924, 906, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 906, 627 is 3.

FAQs on GCD of 924, 906, 627 Calculator

1. What is the GCD of 924, 906, 627?

GCD of given numbers 924, 906, 627 is 3


2. How to calculate the greatest common divisor of 924, 906, 627?

We can find the highest common divisor of 924, 906, 627 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 924, 906, 627 i.e 3.


3. How can I use the GCD of 924, 906, 627Calculator?

Out the numbers 924, 906, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.