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GCD of 868, 972, 724, 909 Calculator

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


Online GCD Calculator is useful to find the GCD of 868, 972, 724, 909 quickly. Get the easiest ways to solve the greatest common divisor of 868, 972, 724, 909 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 868, 972, 724, 909 with Factoring?

Given Input numbers are 868, 972, 724, 909

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909


GCD of numbers is the greatest common divisor

So, the GCD (868, 972, 724, 909) = 1.

Find GCD of 868, 972, 724, 909 using Prime Factorization

Given numbers are 868, 972, 724, 909

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 909 are 3 x 3 x 101

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

Steps to Calculate GCD of 868, 972, 724, 909 using LCM Formula

Given numbers are 868, 972, 724, 909

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

Apply this formula for all numbers.

Step1:

LCM(868, 972) = 210924

GCD(868, 972) = ( 868 x 972 ) / 210924

= 868 / 972

= 868


Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4


Step3:

LCM(4, 909) = 3636

GCD(4, 909) = ( 4 x 909 ) / 3636

= 4 / 909

= 4


So, Greatest Common Divisor of 868, 972, 724, 909 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 868, 972, 724, 909

Given numbers are 868, 972, 724, 909
The greatest common divisor of numbers 868, 972, 724, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 972, 724, 909 is 1.

FAQs on GCD of 868, 972, 724, 909 Calculator

1. What is the GCD of 868, 972, 724, 909?

GCD of given numbers 868, 972, 724, 909 is 1


2. How to calculate the greatest common divisor of 868, 972, 724, 909?

We can find the highest common divisor of 868, 972, 724, 909 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 868, 972, 724, 909 i.e 1.


3. How can I use the GCD of 868, 972, 724, 909Calculator?

Out the numbers 868, 972, 724, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.