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GCD of 716, 427, 312, 359 Calculator

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


Online GCD Calculator is useful to find the GCD of 716, 427, 312, 359 quickly. Get the easiest ways to solve the greatest common divisor of 716, 427, 312, 359 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 716, 427, 312, 359 with Factoring?

Given Input numbers are 716, 427, 312, 359

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

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359


GCD of numbers is the greatest common divisor

So, the GCD (716, 427, 312, 359) = 1.

Find GCD of 716, 427, 312, 359 using Prime Factorization

Given numbers are 716, 427, 312, 359

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 427 are 7 x 61

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 359 are 359

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

Steps to Calculate GCD of 716, 427, 312, 359 using LCM Formula

Given numbers are 716, 427, 312, 359

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

Apply this formula for all numbers.

Step1:

LCM(716, 427) = 305732

GCD(716, 427) = ( 716 x 427 ) / 305732

= 716 / 427

= 716


Step2:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1


Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1


So, Greatest Common Divisor of 716, 427, 312, 359 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 716, 427, 312, 359

Given numbers are 716, 427, 312, 359
The greatest common divisor of numbers 716, 427, 312, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 427, 312, 359 is 1.

FAQs on GCD of 716, 427, 312, 359 Calculator

1. What is the GCD of 716, 427, 312, 359?

GCD of given numbers 716, 427, 312, 359 is 1


2. How to calculate the greatest common divisor of 716, 427, 312, 359?

We can find the highest common divisor of 716, 427, 312, 359 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 716, 427, 312, 359 i.e 1.


3. How can I use the GCD of 716, 427, 312, 359Calculator?

Out the numbers 716, 427, 312, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.