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GCD of 708, 970, 422, 646 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 970, 422, 646 quickly. Get the easiest ways to solve the greatest common divisor of 708, 970, 422, 646 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 970, 422, 646 with Factoring?

Given Input numbers are 708, 970, 422, 646

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646


GCD of numbers is the greatest common divisor

So, the GCD (708, 970, 422, 646) = 2.

Find GCD of 708, 970, 422, 646 using Prime Factorization

Given numbers are 708, 970, 422, 646

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 970 are 2 x 5 x 97

Prime factors of 422 are 2 x 211

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 21

Therefore, GCD of 708, 970, 422, 646 is 2.

Steps to Calculate GCD of 708, 970, 422, 646 using LCM Formula

Given numbers are 708, 970, 422, 646

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

Apply this formula for all numbers.

Step1:

LCM(708, 970) = 343380

GCD(708, 970) = ( 708 x 970 ) / 343380

= 708 / 970

= 708


Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2


Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2


So, Greatest Common Divisor of 708, 970, 422, 646 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 970, 422, 646

Given numbers are 708, 970, 422, 646
The greatest common divisor of numbers 708, 970, 422, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 970, 422, 646 is 2.

FAQs on GCD of 708, 970, 422, 646 Calculator

1. What is the GCD of 708, 970, 422, 646?

GCD of given numbers 708, 970, 422, 646 is 2


2. How to calculate the greatest common divisor of 708, 970, 422, 646?

We can find the highest common divisor of 708, 970, 422, 646 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 708, 970, 422, 646 i.e 2.


3. How can I use the GCD of 708, 970, 422, 646Calculator?

Out the numbers 708, 970, 422, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.