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GCD of 316, 249, 355, 364 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 249, 355, 364 quickly. Get the easiest ways to solve the greatest common divisor of 316, 249, 355, 364 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 249, 355, 364 with Factoring?

Given Input numbers are 316, 249, 355, 364

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (316, 249, 355, 364) = 1.

Find GCD of 316, 249, 355, 364 using Prime Factorization

Given numbers are 316, 249, 355, 364

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 249 are 3 x 83

Prime factors of 355 are 5 x 71

Prime factors of 364 are 2 x 2 x 7 x 13

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

Steps to Calculate GCD of 316, 249, 355, 364 using LCM Formula

Given numbers are 316, 249, 355, 364

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

Apply this formula for all numbers.

Step1:

LCM(316, 249) = 78684

GCD(316, 249) = ( 316 x 249 ) / 78684

= 316 / 249

= 316


Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1


So, Greatest Common Divisor of 316, 249, 355, 364 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 249, 355, 364

Given numbers are 316, 249, 355, 364
The greatest common divisor of numbers 316, 249, 355, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 249, 355, 364 is 1.

FAQs on GCD of 316, 249, 355, 364 Calculator

1. What is the GCD of 316, 249, 355, 364?

GCD of given numbers 316, 249, 355, 364 is 1


2. How to calculate the greatest common divisor of 316, 249, 355, 364?

We can find the highest common divisor of 316, 249, 355, 364 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 316, 249, 355, 364 i.e 1.


3. How can I use the GCD of 316, 249, 355, 364Calculator?

Out the numbers 316, 249, 355, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.