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GCD of 497, 629, 331, 617 Calculator

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


Online GCD Calculator is useful to find the GCD of 497, 629, 331, 617 quickly. Get the easiest ways to solve the greatest common divisor of 497, 629, 331, 617 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 497, 629, 331, 617 with Factoring?

Given Input numbers are 497, 629, 331, 617

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617


GCD of numbers is the greatest common divisor

So, the GCD (497, 629, 331, 617) = 1.

Find GCD of 497, 629, 331, 617 using Prime Factorization

Given numbers are 497, 629, 331, 617

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 629 are 17 x 37

Prime factors of 331 are 331

Prime factors of 617 are 617

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

Steps to Calculate GCD of 497, 629, 331, 617 using LCM Formula

Given numbers are 497, 629, 331, 617

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

Apply this formula for all numbers.

Step1:

LCM(497, 629) = 312613

GCD(497, 629) = ( 497 x 629 ) / 312613

= 497 / 629

= 497


Step2:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


Step3:

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

= 1 / 617

= 1


So, Greatest Common Divisor of 497, 629, 331, 617 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 497, 629, 331, 617

Given numbers are 497, 629, 331, 617
The greatest common divisor of numbers 497, 629, 331, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 629, 331, 617 is 1.

FAQs on GCD of 497, 629, 331, 617 Calculator

1. What is the GCD of 497, 629, 331, 617?

GCD of given numbers 497, 629, 331, 617 is 1


2. How to calculate the greatest common divisor of 497, 629, 331, 617?

We can find the highest common divisor of 497, 629, 331, 617 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 497, 629, 331, 617 i.e 1.


3. How can I use the GCD of 497, 629, 331, 617Calculator?

Out the numbers 497, 629, 331, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.