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GCD of 116, 980, 716, 956 Calculator

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


Online GCD Calculator is useful to find the GCD of 116, 980, 716, 956 quickly. Get the easiest ways to solve the greatest common divisor of 116, 980, 716, 956 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 116, 980, 716, 956 with Factoring?

Given Input numbers are 116, 980, 716, 956

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956


GCD of numbers is the greatest common divisor

So, the GCD (116, 980, 716, 956) = 4.

Find GCD of 116, 980, 716, 956 using Prime Factorization

Given numbers are 116, 980, 716, 956

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 716 are 2 x 2 x 179

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 22

Therefore, GCD of 116, 980, 716, 956 is 4.

Steps to Calculate GCD of 116, 980, 716, 956 using LCM Formula

Given numbers are 116, 980, 716, 956

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

Apply this formula for all numbers.

Step1:

LCM(116, 980) = 28420

GCD(116, 980) = ( 116 x 980 ) / 28420

= 116 / 980

= 116


Step2:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4


Step3:

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

= 4 / 956

= 4


So, Greatest Common Divisor of 116, 980, 716, 956 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 116, 980, 716, 956

Given numbers are 116, 980, 716, 956
The greatest common divisor of numbers 116, 980, 716, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 980, 716, 956 is 4.

FAQs on GCD of 116, 980, 716, 956 Calculator

1. What is the GCD of 116, 980, 716, 956?

GCD of given numbers 116, 980, 716, 956 is 4


2. How to calculate the greatest common divisor of 116, 980, 716, 956?

We can find the highest common divisor of 116, 980, 716, 956 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 116, 980, 716, 956 i.e 4.


3. How can I use the GCD of 116, 980, 716, 956Calculator?

Out the numbers 116, 980, 716, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.