GCD of 725, 960, 877 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 725, 960, 877 i.e. 1 largest integer that divides all the numbers equally.

GCD of 725, 960, 877 is 1

GCD(725, 960, 877) = 1

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

GCD of

GCD of numbers 725, 960, 877 is 1

GCD(725, 960, 877) = 1

GCD of 725,960,877 Calculator

GCDof 725,960,877 is 1

Given Input numbers are 725, 960, 877

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Greatest Common Divisior

We found the divisors of 725, 960, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 960, 877 is 1.

Therefore, GCD of numbers 725, 960, 877 is 1

Finding GCD of 725, 960, 877 using Prime Factorization

Given Input Data is 725, 960, 877

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 877 is 877

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

Finding GCD of 725, 960, 877 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(725, 960) = 139200

GCD(725, 960) = ( 725 x 960 ) / 139200

GCD(725, 960) = 696000 / 139200

GCD(725, 960) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 877

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

LCM(5, 877) = 4385

GCD(5, 877) = ( 5 x 877 ) / 4385

GCD(5, 877) = 4385 / 4385

GCD(5, 877) = 1

GCD of 725, 960, 877 is 1

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FAQs on GCD of numbers 725, 960, 877

1. What is the GCD of 725, 960, 877?

GCD of 725, 960, 877 is 1

2. Where do I get the detailed procedure to find GCD of 725, 960, 877?

You can find a detailed procedure to find GCD of 725, 960, 877 on our page.

3. How to find GCD of 725, 960, 877 on a calculator?

You can find the GCD of 725, 960, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.