GCD of 565, 195, 498 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 565, 195, 498 i.e. 1 largest integer that divides all the numbers equally.

GCD of 565, 195, 498 is 1

GCD(565, 195, 498) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 565, 195, 498 is 1

GCD(565, 195, 498) = 1

GCD of 565,195,498 Calculator

GCDof 565,195,498 is 1

Given Input numbers are 565, 195, 498

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 565, 195, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 195, 498 is 1.

Therefore, GCD of numbers 565, 195, 498 is 1

Finding GCD of 565, 195, 498 using Prime Factorization

Given Input Data is 565, 195, 498

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 565 is 5 x 113

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 498 is 2 x 3 x 83

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

Finding GCD of 565, 195, 498 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(565, 195) = 22035

GCD(565, 195) = ( 565 x 195 ) / 22035

GCD(565, 195) = 110175 / 22035

GCD(565, 195) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 498

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

LCM(5, 498) = 2490

GCD(5, 498) = ( 5 x 498 ) / 2490

GCD(5, 498) = 2490 / 2490

GCD(5, 498) = 1

GCD of 565, 195, 498 is 1

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FAQs on GCD of numbers 565, 195, 498

1. What is the GCD of 565, 195, 498?

GCD of 565, 195, 498 is 1

2. Where do I get the detailed procedure to find GCD of 565, 195, 498?

You can find a detailed procedure to find GCD of 565, 195, 498 on our page.

3. How to find GCD of 565, 195, 498 on a calculator?

You can find the GCD of 565, 195, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.