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GCD of 748, 977, 970, 279 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 977, 970, 279 quickly. Get the easiest ways to solve the greatest common divisor of 748, 977, 970, 279 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 977, 970, 279 with Factoring?

Given Input numbers are 748, 977, 970, 279

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

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 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 970 :

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

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279


GCD of numbers is the greatest common divisor

So, the GCD (748, 977, 970, 279) = 1.

Find GCD of 748, 977, 970, 279 using Prime Factorization

Given numbers are 748, 977, 970, 279

The list of prime factors of all numbers are

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

Prime factors of 977 are 977

Prime factors of 970 are 2 x 5 x 97

Prime factors of 279 are 3 x 3 x 31

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

Steps to Calculate GCD of 748, 977, 970, 279 using LCM Formula

Given numbers are 748, 977, 970, 279

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

Apply this formula for all numbers.

Step1:

LCM(748, 977) = 730796

GCD(748, 977) = ( 748 x 977 ) / 730796

= 748 / 977

= 748


Step2:

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

= 1 / 970

= 1


Step3:

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

= 1 / 279

= 1


So, Greatest Common Divisor of 748, 977, 970, 279 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 977, 970, 279

Given numbers are 748, 977, 970, 279
The greatest common divisor of numbers 748, 977, 970, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 977, 970, 279 is 1.

FAQs on GCD of 748, 977, 970, 279 Calculator

1. What is the GCD of 748, 977, 970, 279?

GCD of given numbers 748, 977, 970, 279 is 1


2. How to calculate the greatest common divisor of 748, 977, 970, 279?

We can find the highest common divisor of 748, 977, 970, 279 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 748, 977, 970, 279 i.e 1.


3. How can I use the GCD of 748, 977, 970, 279Calculator?

Out the numbers 748, 977, 970, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.