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GCD of 958, 790, 64, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 958, 790, 64, 972 quickly. Get the easiest ways to solve the greatest common divisor of 958, 790, 64, 972 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 790, 64, 972 with Factoring?

Given Input numbers are 958, 790, 64, 972

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972


GCD of numbers is the greatest common divisor

So, the GCD (958, 790, 64, 972) = 2.

Find GCD of 958, 790, 64, 972 using Prime Factorization

Given numbers are 958, 790, 64, 972

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 790 are 2 x 5 x 79

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 958, 790, 64, 972 is 2.

Steps to Calculate GCD of 958, 790, 64, 972 using LCM Formula

Given numbers are 958, 790, 64, 972

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

Apply this formula for all numbers.

Step1:

LCM(958, 790) = 378410

GCD(958, 790) = ( 958 x 790 ) / 378410

= 958 / 790

= 958


Step2:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2


Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2


So, Greatest Common Divisor of 958, 790, 64, 972 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 790, 64, 972

Given numbers are 958, 790, 64, 972
The greatest common divisor of numbers 958, 790, 64, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 790, 64, 972 is 2.

FAQs on GCD of 958, 790, 64, 972 Calculator

1. What is the GCD of 958, 790, 64, 972?

GCD of given numbers 958, 790, 64, 972 is 2


2. How to calculate the greatest common divisor of 958, 790, 64, 972?

We can find the highest common divisor of 958, 790, 64, 972 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 958, 790, 64, 972 i.e 2.


3. How can I use the GCD of 958, 790, 64, 972Calculator?

Out the numbers 958, 790, 64, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.