GCD of 960, 959, 878 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 960, 959, 878 i.e. 1 largest integer that divides all the numbers equally.

GCD of 960, 959, 878 is 1

GCD(960, 959, 878) = 1

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

GCD of

GCD of numbers 960, 959, 878 is 1

GCD(960, 959, 878) = 1

GCD of 960,959,878 Calculator

GCDof 960,959,878 is 1

Given Input numbers are 960, 959, 878

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

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 960, 959, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 959, 878 is 1.

Therefore, GCD of numbers 960, 959, 878 is 1

Finding GCD of 960, 959, 878 using Prime Factorization

Given Input Data is 960, 959, 878

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

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 878 is 2 x 439

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

Finding GCD of 960, 959, 878 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(960, 959) = 920640

GCD(960, 959) = ( 960 x 959 ) / 920640

GCD(960, 959) = 920640 / 920640

GCD(960, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 960, 959, 878 is 1

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FAQs on GCD of numbers 960, 959, 878

1. What is the GCD of 960, 959, 878?

GCD of 960, 959, 878 is 1

2. Where do I get the detailed procedure to find GCD of 960, 959, 878?

You can find a detailed procedure to find GCD of 960, 959, 878 on our page.

3. How to find GCD of 960, 959, 878 on a calculator?

You can find the GCD of 960, 959, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.