GCD of 769, 120, 25, 910 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 769, 120, 25, 910 i.e. 1 largest integer that divides all the numbers equally.

GCD of 769, 120, 25, 910 is 1

GCD(769, 120, 25, 910) = 1

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

GCD of

GCD of numbers 769, 120, 25, 910 is 1

GCD(769, 120, 25, 910) = 1

GCD of 769,120,25,910 Calculator

GCDof 769,120,25,910 is 1

Given Input numbers are 769, 120, 25, 910

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 25

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

1, 5, 25

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 769, 120, 25, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 120, 25, 910 is 1.

Therefore, GCD of numbers 769, 120, 25, 910 is 1

Finding GCD of 769, 120, 25, 910 using Prime Factorization

Given Input Data is 769, 120, 25, 910

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

Prime Factorization of 769 is 769

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 25 is 5 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

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

Finding GCD of 769, 120, 25, 910 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(769, 120) = 92280

GCD(769, 120) = ( 769 x 120 ) / 92280

GCD(769, 120) = 92280 / 92280

GCD(769, 120) = 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 910

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

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

GCD(1, 910) = 910 / 910

GCD(1, 910) = 1

GCD of 769, 120, 25, 910 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 769, 120, 25, 910

1. What is the GCD of 769, 120, 25, 910?

GCD of 769, 120, 25, 910 is 1


2. Where do I get the detailed procedure to find GCD of 769, 120, 25, 910?

You can find a detailed procedure to find GCD of 769, 120, 25, 910 on our page.


3. How to find GCD of 769, 120, 25, 910 on a calculator?

You can find the GCD of 769, 120, 25, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.