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GCD of 488, 931, 574, 676 Calculator

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


Online GCD Calculator is useful to find the GCD of 488, 931, 574, 676 quickly. Get the easiest ways to solve the greatest common divisor of 488, 931, 574, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 488, 931, 574, 676 with Factoring?

Given Input numbers are 488, 931, 574, 676

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 676 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (488, 931, 574, 676) = 1.

Find GCD of 488, 931, 574, 676 using Prime Factorization

Given numbers are 488, 931, 574, 676

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 931 are 7 x 7 x 19

Prime factors of 574 are 2 x 7 x 41

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

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

Steps to Calculate GCD of 488, 931, 574, 676 using LCM Formula

Given numbers are 488, 931, 574, 676

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

Apply this formula for all numbers.

Step1:

LCM(488, 931) = 454328

GCD(488, 931) = ( 488 x 931 ) / 454328

= 488 / 931

= 488


Step2:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1


Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


So, Greatest Common Divisor of 488, 931, 574, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 488, 931, 574, 676

Given numbers are 488, 931, 574, 676
The greatest common divisor of numbers 488, 931, 574, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 931, 574, 676 is 1.

FAQs on GCD of 488, 931, 574, 676 Calculator

1. What is the GCD of 488, 931, 574, 676?

GCD of given numbers 488, 931, 574, 676 is 1


2. How to calculate the greatest common divisor of 488, 931, 574, 676?

We can find the highest common divisor of 488, 931, 574, 676 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 488, 931, 574, 676 i.e 1.


3. How can I use the GCD of 488, 931, 574, 676Calculator?

Out the numbers 488, 931, 574, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.