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GCD of 772, 846, 316, 644 Calculator

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


Online GCD Calculator is useful to find the GCD of 772, 846, 316, 644 quickly. Get the easiest ways to solve the greatest common divisor of 772, 846, 316, 644 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 846, 316, 644 with Factoring?

Given Input numbers are 772, 846, 316, 644

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644


GCD of numbers is the greatest common divisor

So, the GCD (772, 846, 316, 644) = 2.

Find GCD of 772, 846, 316, 644 using Prime Factorization

Given numbers are 772, 846, 316, 644

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 316 are 2 x 2 x 79

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 21

Therefore, GCD of 772, 846, 316, 644 is 2.

Steps to Calculate GCD of 772, 846, 316, 644 using LCM Formula

Given numbers are 772, 846, 316, 644

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

Apply this formula for all numbers.

Step1:

LCM(772, 846) = 326556

GCD(772, 846) = ( 772 x 846 ) / 326556

= 772 / 846

= 772


Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2


Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2


So, Greatest Common Divisor of 772, 846, 316, 644 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 846, 316, 644

Given numbers are 772, 846, 316, 644
The greatest common divisor of numbers 772, 846, 316, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 846, 316, 644 is 2.

FAQs on GCD of 772, 846, 316, 644 Calculator

1. What is the GCD of 772, 846, 316, 644?

GCD of given numbers 772, 846, 316, 644 is 2


2. How to calculate the greatest common divisor of 772, 846, 316, 644?

We can find the highest common divisor of 772, 846, 316, 644 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 772, 846, 316, 644 i.e 2.


3. How can I use the GCD of 772, 846, 316, 644Calculator?

Out the numbers 772, 846, 316, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.