GCD of 960, 955, 635, 878 Calculator

Given Input numbers are 960, 955, 635, 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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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, 955, 635, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 955, 635, 878 is 1.

Therefore, GCD of numbers 960, 955, 635, 878 is 1

Given Input Data is 960, 955, 635, 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 955 is 5 x 191

Prime Factorization of 635 is 5 x 127

Prime Factorization of 878 is 2 x 439

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

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, 955) = 183360

GCD(960, 955) = ( 960 x 955 ) / 183360

GCD(960, 955) = 916800 / 183360

GCD(960, 955) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 635

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

LCM(5, 635) = 635

GCD(5, 635) = ( 5 x 635 ) / 635

GCD(5, 635) = 3175 / 635

GCD(5, 635) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 878

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

LCM(5, 878) = 4390

GCD(5, 878) = ( 5 x 878 ) / 4390

GCD(5, 878) = 4390 / 4390

GCD(5, 878) = 1

GCD of 960, 955, 635, 878 is 1

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1. What is the GCD of 960, 955, 635, 878?

GCD of 960, 955, 635, 878 is 1

2. Where do I get the detailed procedure to find GCD of 960, 955, 635, 878?

You can find a detailed procedure to find GCD of 960, 955, 635, 878 on our page.

3. How to find GCD of 960, 955, 635, 878 on a calculator?

You can find the GCD of 960, 955, 635, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.