GCD of 960, 774, 14, 119 Calculator

Given Input numbers are 960, 774, 14, 119

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 960, 774, 14, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 774, 14, 119 is 1.

Therefore, GCD of numbers 960, 774, 14, 119 is 1

Given Input Data is 960, 774, 14, 119

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 14 is 2 x 7

Prime Factorization of 119 is 7 x 17

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, 774) = 123840

GCD(960, 774) = ( 960 x 774 ) / 123840

GCD(960, 774) = 743040 / 123840

GCD(960, 774) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 960, 774, 14, 119 is 1

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1. What is the GCD of 960, 774, 14, 119?

GCD of 960, 774, 14, 119 is 1

2. Where do I get the detailed procedure to find GCD of 960, 774, 14, 119?

You can find a detailed procedure to find GCD of 960, 774, 14, 119 on our page.

3. How to find GCD of 960, 774, 14, 119 on a calculator?

You can find the GCD of 960, 774, 14, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.