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GCD of 906, 638, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 906, 638, 672 quickly. Get the easiest ways to solve the greatest common divisor of 906, 638, 672 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 906, 638, 672 with Factoring?

Given Input numbers are 906, 638, 672

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

Divisors of 906 :

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

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (906, 638, 672) = 2.

Find GCD of 906, 638, 672 using Prime Factorization

Given numbers are 906, 638, 672

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 638 are 2 x 11 x 29

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 906, 638, 672 is 2.

Steps to Calculate GCD of 906, 638, 672 using LCM Formula

Given numbers are 906, 638, 672

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

Apply this formula for all numbers.

Step1:

LCM(906, 638) = 289014

GCD(906, 638) = ( 906 x 638 ) / 289014

= 906 / 638

= 906


Step2:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2


So, Greatest Common Divisor of 906, 638, 672 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 906, 638, 672

Given numbers are 906, 638, 672
The greatest common divisor of numbers 906, 638, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 638, 672 is 2.

FAQs on GCD of 906, 638, 672 Calculator

1. What is the GCD of 906, 638, 672?

GCD of given numbers 906, 638, 672 is 2


2. How to calculate the greatest common divisor of 906, 638, 672?

We can find the highest common divisor of 906, 638, 672 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 906, 638, 672 i.e 2.


3. How can I use the GCD of 906, 638, 672Calculator?

Out the numbers 906, 638, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.