GCD of 130, 442, 149, 925 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 130, 442, 149, 925 i.e. 1 largest integer that divides all the numbers equally.

GCD of 130, 442, 149, 925 is 1

GCD(130, 442, 149, 925) = 1

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

GCD of

GCD of numbers 130, 442, 149, 925 is 1

GCD(130, 442, 149, 925) = 1

GCD of 130,442,149,925 Calculator

GCDof 130,442,149,925 is 1

Given Input numbers are 130, 442, 149, 925

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 149

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

1, 149

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 130, 442, 149, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 442, 149, 925 is 1.

Therefore, GCD of numbers 130, 442, 149, 925 is 1

Finding GCD of 130, 442, 149, 925 using Prime Factorization

Given Input Data is 130, 442, 149, 925

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 149 is 149

Prime Factorization of 925 is 5 x 5 x 37

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

Finding GCD of 130, 442, 149, 925 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(130, 442) = 2210

GCD(130, 442) = ( 130 x 442 ) / 2210

GCD(130, 442) = 57460 / 2210

GCD(130, 442) = 26


Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 149

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

LCM(26, 149) = 3874

GCD(26, 149) = ( 26 x 149 ) / 3874

GCD(26, 149) = 3874 / 3874

GCD(26, 149) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 130, 442, 149, 925 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 130, 442, 149, 925

1. What is the GCD of 130, 442, 149, 925?

GCD of 130, 442, 149, 925 is 1


2. Where do I get the detailed procedure to find GCD of 130, 442, 149, 925?

You can find a detailed procedure to find GCD of 130, 442, 149, 925 on our page.


3. How to find GCD of 130, 442, 149, 925 on a calculator?

You can find the GCD of 130, 442, 149, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.