GCD of 960, 854, 30, 629 Calculator

Given Input numbers are 960, 854, 30, 629

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 960, 854, 30, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 854, 30, 629 is 1.

Therefore, GCD of numbers 960, 854, 30, 629 is 1

Given Input Data is 960, 854, 30, 629

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 854 is 2 x 7 x 61

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 629 is 17 x 37

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, 854) = 409920

GCD(960, 854) = ( 960 x 854 ) / 409920

GCD(960, 854) = 819840 / 409920

GCD(960, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 960, 854, 30, 629 is 1

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1. What is the GCD of 960, 854, 30, 629?

GCD of 960, 854, 30, 629 is 1

2. Where do I get the detailed procedure to find GCD of 960, 854, 30, 629?

You can find a detailed procedure to find GCD of 960, 854, 30, 629 on our page.

3. How to find GCD of 960, 854, 30, 629 on a calculator?

You can find the GCD of 960, 854, 30, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.