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GCD of 972, 674, 293, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 674, 293, 672 quickly. Get the easiest ways to solve the greatest common divisor of 972, 674, 293, 672 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 674, 293, 672 with Factoring?

Given Input numbers are 972, 674, 293, 672

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

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (972, 674, 293, 672) = 1.

Find GCD of 972, 674, 293, 672 using Prime Factorization

Given numbers are 972, 674, 293, 672

The list of prime factors of all numbers are

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

Prime factors of 674 are 2 x 337

Prime factors of 293 are 293

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 972, 674, 293, 672 using LCM Formula

Given numbers are 972, 674, 293, 672

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

Apply this formula for all numbers.

Step1:

LCM(972, 674) = 327564

GCD(972, 674) = ( 972 x 674 ) / 327564

= 972 / 674

= 972


Step2:

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

= 2 / 293

= 2


Step3:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1


So, Greatest Common Divisor of 972, 674, 293, 672 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 674, 293, 672

Given numbers are 972, 674, 293, 672
The greatest common divisor of numbers 972, 674, 293, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 674, 293, 672 is 1.

FAQs on GCD of 972, 674, 293, 672 Calculator

1. What is the GCD of 972, 674, 293, 672?

GCD of given numbers 972, 674, 293, 672 is 1


2. How to calculate the greatest common divisor of 972, 674, 293, 672?

We can find the highest common divisor of 972, 674, 293, 672 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 972, 674, 293, 672 i.e 1.


3. How can I use the GCD of 972, 674, 293, 672Calculator?

Out the numbers 972, 674, 293, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.