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GCD of 996, 712, 600 Calculator

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

Online GCD Calculator is useful to find the GCD of 996, 712, 600 quickly. Get the easiest ways to solve the greatest common divisor of 996, 712, 600 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 996, 712, 600 with Factoring?

Given Input numbers are 996, 712, 600

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600


GCD of numbers is the greatest common divisor

So, the GCD (996, 712, 600) = 4.

Find GCD of 996, 712, 600 using Prime Factorization

Given numbers are 996, 712, 600

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 22

Therefore, GCD of 996, 712, 600 is 4.

Steps to Calculate GCD of 996, 712, 600 using LCM Formula

Given numbers are 996, 712, 600

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

Apply this formula for all numbers.

Step1:

LCM(996, 712) = 177288

GCD(996, 712) = ( 996 x 712 ) / 177288

= 996 / 712

= 996

Step2:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4


So, Greatest Common Divisor of 996, 712, 600 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 996, 712, 600

Given numbers are 996, 712, 600
The greatest common divisor of numbers 996, 712, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 712, 600 is 4.

FAQs on GCD of 996, 712, 600 Calculator

1. What is the GCD of 996, 712, 600?

GCD of given numbers 996, 712, 600 is 4

2. How to calculate the greatest common divisor of 996, 712, 600?

We can find the highest common divisor of 996, 712, 600 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 996, 712, 600 i.e 4.

3. How can I use the GCD of 996, 712, 600Calculator?

Out the numbers 996, 712, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.