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GCD of 976, 646, 694, 126 Calculator

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


Online GCD Calculator is useful to find the GCD of 976, 646, 694, 126 quickly. Get the easiest ways to solve the greatest common divisor of 976, 646, 694, 126 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 976, 646, 694, 126 with Factoring?

Given Input numbers are 976, 646, 694, 126

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 646 :

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

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

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126


GCD of numbers is the greatest common divisor

So, the GCD (976, 646, 694, 126) = 2.

Find GCD of 976, 646, 694, 126 using Prime Factorization

Given numbers are 976, 646, 694, 126

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 646 are 2 x 17 x 19

Prime factors of 694 are 2 x 347

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 976, 646, 694, 126 is 2.

Steps to Calculate GCD of 976, 646, 694, 126 using LCM Formula

Given numbers are 976, 646, 694, 126

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

Apply this formula for all numbers.

Step1:

LCM(976, 646) = 315248

GCD(976, 646) = ( 976 x 646 ) / 315248

= 976 / 646

= 976


Step2:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2


Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2


So, Greatest Common Divisor of 976, 646, 694, 126 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 976, 646, 694, 126

Given numbers are 976, 646, 694, 126
The greatest common divisor of numbers 976, 646, 694, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 646, 694, 126 is 2.

FAQs on GCD of 976, 646, 694, 126 Calculator

1. What is the GCD of 976, 646, 694, 126?

GCD of given numbers 976, 646, 694, 126 is 2


2. How to calculate the greatest common divisor of 976, 646, 694, 126?

We can find the highest common divisor of 976, 646, 694, 126 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 976, 646, 694, 126 i.e 2.


3. How can I use the GCD of 976, 646, 694, 126Calculator?

Out the numbers 976, 646, 694, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.