GCD of 998, 537, 51 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 998, 537, 51 i.e. 1 largest integer that divides all the numbers equally.

GCD of 998, 537, 51 is 1

GCD(998, 537, 51) = 1

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

GCD of

GCD of numbers 998, 537, 51 is 1

GCD(998, 537, 51) = 1

GCD of 998,537,51 Calculator

GCDof 998,537,51 is 1

Given Input numbers are 998, 537, 51

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 998, 537, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 537, 51 is 1.

Therefore, GCD of numbers 998, 537, 51 is 1

Finding GCD of 998, 537, 51 using Prime Factorization

Given Input Data is 998, 537, 51

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 537 is 3 x 179

Prime Factorization of 51 is 3 x 17

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

Finding GCD of 998, 537, 51 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(998, 537) = 535926

GCD(998, 537) = ( 998 x 537 ) / 535926

GCD(998, 537) = 535926 / 535926

GCD(998, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 998, 537, 51 is 1

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FAQs on GCD of numbers 998, 537, 51

1. What is the GCD of 998, 537, 51?

GCD of 998, 537, 51 is 1

2. Where do I get the detailed procedure to find GCD of 998, 537, 51?

You can find a detailed procedure to find GCD of 998, 537, 51 on our page.

3. How to find GCD of 998, 537, 51 on a calculator?

You can find the GCD of 998, 537, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.