GCD of 643, 503, 198, 137 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 643, 503, 198, 137 i.e. 1 largest integer that divides all the numbers equally.

GCD of 643, 503, 198, 137 is 1

GCD(643, 503, 198, 137) = 1

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

GCD of

GCD of numbers 643, 503, 198, 137 is 1

GCD(643, 503, 198, 137) = 1

GCD of 643,503,198,137 Calculator

GCDof 643,503,198,137 is 1

Given Input numbers are 643, 503, 198, 137

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 643, 503, 198, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 503, 198, 137 is 1.

Therefore, GCD of numbers 643, 503, 198, 137 is 1

Finding GCD of 643, 503, 198, 137 using Prime Factorization

Given Input Data is 643, 503, 198, 137

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

Prime Factorization of 643 is 643

Prime Factorization of 503 is 503

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 137 is 137

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

Finding GCD of 643, 503, 198, 137 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(643, 503) = 323429

GCD(643, 503) = ( 643 x 503 ) / 323429

GCD(643, 503) = 323429 / 323429

GCD(643, 503) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 643, 503, 198, 137 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 643, 503, 198, 137

1. What is the GCD of 643, 503, 198, 137?

GCD of 643, 503, 198, 137 is 1


2. Where do I get the detailed procedure to find GCD of 643, 503, 198, 137?

You can find a detailed procedure to find GCD of 643, 503, 198, 137 on our page.


3. How to find GCD of 643, 503, 198, 137 on a calculator?

You can find the GCD of 643, 503, 198, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.