GCD of 25, 740, 363, 763 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 25, 740, 363, 763 i.e. 1 largest integer that divides all the numbers equally.

GCD of 25, 740, 363, 763 is 1

GCD(25, 740, 363, 763) = 1

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

GCD of

GCD of numbers 25, 740, 363, 763 is 1

GCD(25, 740, 363, 763) = 1

GCD of 25,740,363,763 Calculator

GCDof 25,740,363,763 is 1

Given Input numbers are 25, 740, 363, 763

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

Divisors of 25

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

1, 5, 25

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 25, 740, 363, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 740, 363, 763 is 1.

Therefore, GCD of numbers 25, 740, 363, 763 is 1

Finding GCD of 25, 740, 363, 763 using Prime Factorization

Given Input Data is 25, 740, 363, 763

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 763 is 7 x 109

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

Finding GCD of 25, 740, 363, 763 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(25, 740) = 3700

GCD(25, 740) = ( 25 x 740 ) / 3700

GCD(25, 740) = 18500 / 3700

GCD(25, 740) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 363

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

LCM(5, 363) = 1815

GCD(5, 363) = ( 5 x 363 ) / 1815

GCD(5, 363) = 1815 / 1815

GCD(5, 363) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 25, 740, 363, 763 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 25, 740, 363, 763

1. What is the GCD of 25, 740, 363, 763?

GCD of 25, 740, 363, 763 is 1


2. Where do I get the detailed procedure to find GCD of 25, 740, 363, 763?

You can find a detailed procedure to find GCD of 25, 740, 363, 763 on our page.


3. How to find GCD of 25, 740, 363, 763 on a calculator?

You can find the GCD of 25, 740, 363, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.