GCD of 203, 752, 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 203, 752, 25, 154 i.e. 1 largest integer that divides all the numbers equally.

GCD of 203, 752, 25, 154 is 1

GCD(203, 752, 25, 154) = 1

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

GCD of

GCD of numbers 203, 752, 25, 154 is 1

GCD(203, 752, 25, 154) = 1

GCD of 203,752,25,154 Calculator

GCDof 203,752,25,154 is 1

Given Input numbers are 203, 752, 25, 154

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 203, 752, 25, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 752, 25, 154 is 1.

Therefore, GCD of numbers 203, 752, 25, 154 is 1

Finding GCD of 203, 752, 25, 154 using Prime Factorization

Given Input Data is 203, 752, 25, 154

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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 203, 752, 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(203, 752) = 152656

GCD(203, 752) = ( 203 x 752 ) / 152656

GCD(203, 752) = 152656 / 152656

GCD(203, 752) = 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 203, 752, 25, 154 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 203, 752, 25, 154

1. What is the GCD of 203, 752, 25, 154?

GCD of 203, 752, 25, 154 is 1


2. Where do I get the detailed procedure to find GCD of 203, 752, 25, 154?

You can find a detailed procedure to find GCD of 203, 752, 25, 154 on our page.


3. How to find GCD of 203, 752, 25, 154 on a calculator?

You can find the GCD of 203, 752, 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.