GCD of 142, 757, 25, 598 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 142, 757, 25, 598 i.e. 1 largest integer that divides all the numbers equally.

GCD of 142, 757, 25, 598 is 1

GCD(142, 757, 25, 598) = 1

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

GCD of

GCD of numbers 142, 757, 25, 598 is 1

GCD(142, 757, 25, 598) = 1

GCD of 142,757,25,598 Calculator

GCDof 142,757,25,598 is 1

Given Input numbers are 142, 757, 25, 598

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 142, 757, 25, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 757, 25, 598 is 1.

Therefore, GCD of numbers 142, 757, 25, 598 is 1

Finding GCD of 142, 757, 25, 598 using Prime Factorization

Given Input Data is 142, 757, 25, 598

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 757 is 757

Prime Factorization of 25 is 5 x 5

Prime Factorization of 598 is 2 x 13 x 23

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

Finding GCD of 142, 757, 25, 598 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(142, 757) = 107494

GCD(142, 757) = ( 142 x 757 ) / 107494

GCD(142, 757) = 107494 / 107494

GCD(142, 757) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 142, 757, 25, 598 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 142, 757, 25, 598

1. What is the GCD of 142, 757, 25, 598?

GCD of 142, 757, 25, 598 is 1


2. Where do I get the detailed procedure to find GCD of 142, 757, 25, 598?

You can find a detailed procedure to find GCD of 142, 757, 25, 598 on our page.


3. How to find GCD of 142, 757, 25, 598 on a calculator?

You can find the GCD of 142, 757, 25, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.