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GCD of 708, 996, 119 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 996, 119 quickly. Get the easiest ways to solve the greatest common divisor of 708, 996, 119 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 996, 119 with Factoring?

Given Input numbers are 708, 996, 119

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119


GCD of numbers is the greatest common divisor

So, the GCD (708, 996, 119) = 1.

Find GCD of 708, 996, 119 using Prime Factorization

Given numbers are 708, 996, 119

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

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

Prime factors of 119 are 7 x 17

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

Steps to Calculate GCD of 708, 996, 119 using LCM Formula

Given numbers are 708, 996, 119

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

Apply this formula for all numbers.

Step1:

LCM(708, 996) = 58764

GCD(708, 996) = ( 708 x 996 ) / 58764

= 708 / 996

= 708


Step2:

LCM(12, 119) = 1428

GCD(12, 119) = ( 12 x 119 ) / 1428

= 12 / 119

= 12


So, Greatest Common Divisor of 708, 996, 119 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 996, 119

Given numbers are 708, 996, 119
The greatest common divisor of numbers 708, 996, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 996, 119 is 1.

FAQs on GCD of 708, 996, 119 Calculator

1. What is the GCD of 708, 996, 119?

GCD of given numbers 708, 996, 119 is 1


2. How to calculate the greatest common divisor of 708, 996, 119?

We can find the highest common divisor of 708, 996, 119 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 708, 996, 119 i.e 1.


3. How can I use the GCD of 708, 996, 119Calculator?

Out the numbers 708, 996, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.