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GCD of 676, 424, 258, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 424, 258, 117 quickly. Get the easiest ways to solve the greatest common divisor of 676, 424, 258, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 424, 258, 117 with Factoring?

Given Input numbers are 676, 424, 258, 117

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (676, 424, 258, 117) = 1.

Find GCD of 676, 424, 258, 117 using Prime Factorization

Given numbers are 676, 424, 258, 117

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 258 are 2 x 3 x 43

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 676, 424, 258, 117 using LCM Formula

Given numbers are 676, 424, 258, 117

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

Apply this formula for all numbers.

Step1:

LCM(676, 424) = 71656

GCD(676, 424) = ( 676 x 424 ) / 71656

= 676 / 424

= 676


Step2:

LCM(4, 258) = 516

GCD(4, 258) = ( 4 x 258 ) / 516

= 4 / 258

= 4


Step3:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2


So, Greatest Common Divisor of 676, 424, 258, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 424, 258, 117

Given numbers are 676, 424, 258, 117
The greatest common divisor of numbers 676, 424, 258, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 424, 258, 117 is 1.

FAQs on GCD of 676, 424, 258, 117 Calculator

1. What is the GCD of 676, 424, 258, 117?

GCD of given numbers 676, 424, 258, 117 is 1


2. How to calculate the greatest common divisor of 676, 424, 258, 117?

We can find the highest common divisor of 676, 424, 258, 117 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 676, 424, 258, 117 i.e 1.


3. How can I use the GCD of 676, 424, 258, 117Calculator?

Out the numbers 676, 424, 258, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.