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GCD of 897, 493, 500, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 493, 500, 331 quickly. Get the easiest ways to solve the greatest common divisor of 897, 493, 500, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 493, 500, 331 with Factoring?

Given Input numbers are 897, 493, 500, 331

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 331 :

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

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (897, 493, 500, 331) = 1.

Find GCD of 897, 493, 500, 331 using Prime Factorization

Given numbers are 897, 493, 500, 331

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 493 are 17 x 29

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 331 are 331

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

Steps to Calculate GCD of 897, 493, 500, 331 using LCM Formula

Given numbers are 897, 493, 500, 331

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

Apply this formula for all numbers.

Step1:

LCM(897, 493) = 442221

GCD(897, 493) = ( 897 x 493 ) / 442221

= 897 / 493

= 897


Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


Step3:

LCM(1, 331) = 331

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

= 1 / 331

= 1


So, Greatest Common Divisor of 897, 493, 500, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 493, 500, 331

Given numbers are 897, 493, 500, 331
The greatest common divisor of numbers 897, 493, 500, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 493, 500, 331 is 1.

FAQs on GCD of 897, 493, 500, 331 Calculator

1. What is the GCD of 897, 493, 500, 331?

GCD of given numbers 897, 493, 500, 331 is 1


2. How to calculate the greatest common divisor of 897, 493, 500, 331?

We can find the highest common divisor of 897, 493, 500, 331 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 897, 493, 500, 331 i.e 1.


3. How can I use the GCD of 897, 493, 500, 331Calculator?

Out the numbers 897, 493, 500, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.