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GCD of 964, 612, 908, 724 Calculator

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


Online GCD Calculator is useful to find the GCD of 964, 612, 908, 724 quickly. Get the easiest ways to solve the greatest common divisor of 964, 612, 908, 724 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 612, 908, 724 with Factoring?

Given Input numbers are 964, 612, 908, 724

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 724 :

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

1, 2, 4, 181, 362, 724


GCD of numbers is the greatest common divisor

So, the GCD (964, 612, 908, 724) = 4.

Find GCD of 964, 612, 908, 724 using Prime Factorization

Given numbers are 964, 612, 908, 724

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 908 are 2 x 2 x 227

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 22

Therefore, GCD of 964, 612, 908, 724 is 4.

Steps to Calculate GCD of 964, 612, 908, 724 using LCM Formula

Given numbers are 964, 612, 908, 724

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

Apply this formula for all numbers.

Step1:

LCM(964, 612) = 147492

GCD(964, 612) = ( 964 x 612 ) / 147492

= 964 / 612

= 964


Step2:

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

= 4 / 908

= 4


Step3:

LCM(4, 724) = 724

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

= 4 / 724

= 4


So, Greatest Common Divisor of 964, 612, 908, 724 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 612, 908, 724

Given numbers are 964, 612, 908, 724
The greatest common divisor of numbers 964, 612, 908, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 612, 908, 724 is 4.

FAQs on GCD of 964, 612, 908, 724 Calculator

1. What is the GCD of 964, 612, 908, 724?

GCD of given numbers 964, 612, 908, 724 is 4


2. How to calculate the greatest common divisor of 964, 612, 908, 724?

We can find the highest common divisor of 964, 612, 908, 724 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 964, 612, 908, 724 i.e 4.


3. How can I use the GCD of 964, 612, 908, 724Calculator?

Out the numbers 964, 612, 908, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.