GCD of 655, 731, 25, 154 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 655, 731, 25, 154 i.e. 1 largest integer that divides all the numbers equally.

GCD of 655, 731, 25, 154 is 1

GCD(655, 731, 25, 154) = 1

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

GCD of

GCD of numbers 655, 731, 25, 154 is 1

GCD(655, 731, 25, 154) = 1

GCD of 655,731,25,154 Calculator

GCDof 655,731,25,154 is 1

Given Input numbers are 655, 731, 25, 154

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 25

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

1, 5, 25

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 655, 731, 25, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 731, 25, 154 is 1.

Therefore, GCD of numbers 655, 731, 25, 154 is 1

Finding GCD of 655, 731, 25, 154 using Prime Factorization

Given Input Data is 655, 731, 25, 154

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 731 is 17 x 43

Prime Factorization of 25 is 5 x 5

Prime Factorization of 154 is 2 x 7 x 11

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

Finding GCD of 655, 731, 25, 154 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(655, 731) = 478805

GCD(655, 731) = ( 655 x 731 ) / 478805

GCD(655, 731) = 478805 / 478805

GCD(655, 731) = 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 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 655, 731, 25, 154 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 655, 731, 25, 154

1. What is the GCD of 655, 731, 25, 154?

GCD of 655, 731, 25, 154 is 1


2. Where do I get the detailed procedure to find GCD of 655, 731, 25, 154?

You can find a detailed procedure to find GCD of 655, 731, 25, 154 on our page.


3. How to find GCD of 655, 731, 25, 154 on a calculator?

You can find the GCD of 655, 731, 25, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.