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GCD of 724, 972, 388, 249 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 972, 388, 249 quickly. Get the easiest ways to solve the greatest common divisor of 724, 972, 388, 249 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 972, 388, 249 with Factoring?

Given Input numbers are 724, 972, 388, 249

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 249 :

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

1, 3, 83, 249


GCD of numbers is the greatest common divisor

So, the GCD (724, 972, 388, 249) = 1.

Find GCD of 724, 972, 388, 249 using Prime Factorization

Given numbers are 724, 972, 388, 249

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 388 are 2 x 2 x 97

Prime factors of 249 are 3 x 83

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

Steps to Calculate GCD of 724, 972, 388, 249 using LCM Formula

Given numbers are 724, 972, 388, 249

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

Apply this formula for all numbers.

Step1:

LCM(724, 972) = 175932

GCD(724, 972) = ( 724 x 972 ) / 175932

= 724 / 972

= 724


Step2:

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

= 4 / 388

= 4


Step3:

LCM(4, 249) = 996

GCD(4, 249) = ( 4 x 249 ) / 996

= 4 / 249

= 4


So, Greatest Common Divisor of 724, 972, 388, 249 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 972, 388, 249

Given numbers are 724, 972, 388, 249
The greatest common divisor of numbers 724, 972, 388, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 972, 388, 249 is 1.

FAQs on GCD of 724, 972, 388, 249 Calculator

1. What is the GCD of 724, 972, 388, 249?

GCD of given numbers 724, 972, 388, 249 is 1


2. How to calculate the greatest common divisor of 724, 972, 388, 249?

We can find the highest common divisor of 724, 972, 388, 249 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 724, 972, 388, 249 i.e 1.


3. How can I use the GCD of 724, 972, 388, 249Calculator?

Out the numbers 724, 972, 388, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.