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GCD of 970, 748, 678, 931 Calculator

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


Online GCD Calculator is useful to find the GCD of 970, 748, 678, 931 quickly. Get the easiest ways to solve the greatest common divisor of 970, 748, 678, 931 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 970, 748, 678, 931 with Factoring?

Given Input numbers are 970, 748, 678, 931

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

Divisors of 970 :

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

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931


GCD of numbers is the greatest common divisor

So, the GCD (970, 748, 678, 931) = 1.

Find GCD of 970, 748, 678, 931 using Prime Factorization

Given numbers are 970, 748, 678, 931

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 678 are 2 x 3 x 113

Prime factors of 931 are 7 x 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 970, 748, 678, 931 using LCM Formula

Given numbers are 970, 748, 678, 931

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

Apply this formula for all numbers.

Step1:

LCM(970, 748) = 362780

GCD(970, 748) = ( 970 x 748 ) / 362780

= 970 / 748

= 970


Step2:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2


Step3:

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

= 2 / 931

= 2


So, Greatest Common Divisor of 970, 748, 678, 931 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 970, 748, 678, 931

Given numbers are 970, 748, 678, 931
The greatest common divisor of numbers 970, 748, 678, 931 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 748, 678, 931 is 1.

FAQs on GCD of 970, 748, 678, 931 Calculator

1. What is the GCD of 970, 748, 678, 931?

GCD of given numbers 970, 748, 678, 931 is 1


2. How to calculate the greatest common divisor of 970, 748, 678, 931?

We can find the highest common divisor of 970, 748, 678, 931 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 970, 748, 678, 931 i.e 1.


3. How can I use the GCD of 970, 748, 678, 931Calculator?

Out the numbers 970, 748, 678, 931 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.