GCD of 557, 149, 929, 143 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 557, 149, 929, 143 i.e. 1 largest integer that divides all the numbers equally.

GCD of 557, 149, 929, 143 is 1

GCD(557, 149, 929, 143) = 1

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

GCD of

GCD of numbers 557, 149, 929, 143 is 1

GCD(557, 149, 929, 143) = 1

GCD of 557,149,929,143 Calculator

GCDof 557,149,929,143 is 1

Given Input numbers are 557, 149, 929, 143

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 557, 149, 929, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 149, 929, 143 is 1.

Therefore, GCD of numbers 557, 149, 929, 143 is 1

Finding GCD of 557, 149, 929, 143 using Prime Factorization

Given Input Data is 557, 149, 929, 143

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

Prime Factorization of 557 is 557

Prime Factorization of 149 is 149

Prime Factorization of 929 is 929

Prime Factorization of 143 is 11 x 13

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

Finding GCD of 557, 149, 929, 143 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(557, 149) = 82993

GCD(557, 149) = ( 557 x 149 ) / 82993

GCD(557, 149) = 82993 / 82993

GCD(557, 149) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 557, 149, 929, 143 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 557, 149, 929, 143

1. What is the GCD of 557, 149, 929, 143?

GCD of 557, 149, 929, 143 is 1


2. Where do I get the detailed procedure to find GCD of 557, 149, 929, 143?

You can find a detailed procedure to find GCD of 557, 149, 929, 143 on our page.


3. How to find GCD of 557, 149, 929, 143 on a calculator?

You can find the GCD of 557, 149, 929, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.