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GCD of 253, 379, 313, 686 Calculator

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


Online GCD Calculator is useful to find the GCD of 253, 379, 313, 686 quickly. Get the easiest ways to solve the greatest common divisor of 253, 379, 313, 686 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 253, 379, 313, 686 with Factoring?

Given Input numbers are 253, 379, 313, 686

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686


GCD of numbers is the greatest common divisor

So, the GCD (253, 379, 313, 686) = 1.

Find GCD of 253, 379, 313, 686 using Prime Factorization

Given numbers are 253, 379, 313, 686

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 379 are 379

Prime factors of 313 are 313

Prime factors of 686 are 2 x 7 x 7 x 7

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

Steps to Calculate GCD of 253, 379, 313, 686 using LCM Formula

Given numbers are 253, 379, 313, 686

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

Apply this formula for all numbers.

Step1:

LCM(253, 379) = 95887

GCD(253, 379) = ( 253 x 379 ) / 95887

= 253 / 379

= 253


Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1


So, Greatest Common Divisor of 253, 379, 313, 686 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 253, 379, 313, 686

Given numbers are 253, 379, 313, 686
The greatest common divisor of numbers 253, 379, 313, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 379, 313, 686 is 1.

FAQs on GCD of 253, 379, 313, 686 Calculator

1. What is the GCD of 253, 379, 313, 686?

GCD of given numbers 253, 379, 313, 686 is 1


2. How to calculate the greatest common divisor of 253, 379, 313, 686?

We can find the highest common divisor of 253, 379, 313, 686 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 253, 379, 313, 686 i.e 1.


3. How can I use the GCD of 253, 379, 313, 686Calculator?

Out the numbers 253, 379, 313, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.