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GCD of 972, 366, 249, 751 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, 366, 249, 751 quickly. Get the easiest ways to solve the greatest common divisor of 972, 366, 249, 751 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 366, 249, 751 with Factoring?

Given Input numbers are 972, 366, 249, 751

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 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 751 :

The positive integer divisors of 751 that completely divides 751 are.

1, 751


GCD of numbers is the greatest common divisor

So, the GCD (972, 366, 249, 751) = 1.

Find GCD of 972, 366, 249, 751 using Prime Factorization

Given numbers are 972, 366, 249, 751

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 366 are 2 x 3 x 61

Prime factors of 249 are 3 x 83

Prime factors of 751 are 751

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

Steps to Calculate GCD of 972, 366, 249, 751 using LCM Formula

Given numbers are 972, 366, 249, 751

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

Apply this formula for all numbers.

Step1:

LCM(972, 366) = 59292

GCD(972, 366) = ( 972 x 366 ) / 59292

= 972 / 366

= 972


Step2:

LCM(6, 249) = 498

GCD(6, 249) = ( 6 x 249 ) / 498

= 6 / 249

= 6


Step3:

LCM(3, 751) = 2253

GCD(3, 751) = ( 3 x 751 ) / 2253

= 3 / 751

= 3


So, Greatest Common Divisor of 972, 366, 249, 751 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 366, 249, 751

Given numbers are 972, 366, 249, 751
The greatest common divisor of numbers 972, 366, 249, 751 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 366, 249, 751 is 1.

FAQs on GCD of 972, 366, 249, 751 Calculator

1. What is the GCD of 972, 366, 249, 751?

GCD of given numbers 972, 366, 249, 751 is 1


2. How to calculate the greatest common divisor of 972, 366, 249, 751?

We can find the highest common divisor of 972, 366, 249, 751 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, 366, 249, 751 i.e 1.


3. How can I use the GCD of 972, 366, 249, 751Calculator?

Out the numbers 972, 366, 249, 751 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.