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GCD of 916, 978, 320, 751 Calculator

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


Online GCD Calculator is useful to find the GCD of 916, 978, 320, 751 quickly. Get the easiest ways to solve the greatest common divisor of 916, 978, 320, 751 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 916, 978, 320, 751 with Factoring?

Given Input numbers are 916, 978, 320, 751

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 751 :

The positive integer divisors of 751 that completely divides 751 are.

1, 751


GCD of numbers is the greatest common divisor

So, the GCD (916, 978, 320, 751) = 1.

Find GCD of 916, 978, 320, 751 using Prime Factorization

Given numbers are 916, 978, 320, 751

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 978 are 2 x 3 x 163

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 751 are 751

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

Steps to Calculate GCD of 916, 978, 320, 751 using LCM Formula

Given numbers are 916, 978, 320, 751

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

Apply this formula for all numbers.

Step1:

LCM(916, 978) = 447924

GCD(916, 978) = ( 916 x 978 ) / 447924

= 916 / 978

= 916


Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


Step3:

LCM(2, 751) = 1502

GCD(2, 751) = ( 2 x 751 ) / 1502

= 2 / 751

= 2


So, Greatest Common Divisor of 916, 978, 320, 751 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 916, 978, 320, 751

Given numbers are 916, 978, 320, 751
The greatest common divisor of numbers 916, 978, 320, 751 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 978, 320, 751 is 1.

FAQs on GCD of 916, 978, 320, 751 Calculator

1. What is the GCD of 916, 978, 320, 751?

GCD of given numbers 916, 978, 320, 751 is 1


2. How to calculate the greatest common divisor of 916, 978, 320, 751?

We can find the highest common divisor of 916, 978, 320, 751 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 916, 978, 320, 751 i.e 1.


3. How can I use the GCD of 916, 978, 320, 751Calculator?

Out the numbers 916, 978, 320, 751 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.