GCD of 119, 786, 960, 377 Calculator

Given Input numbers are 119, 786, 960, 377

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

Divisors of 119

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

1, 7, 17, 119

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

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 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 119, 786, 960, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 786, 960, 377 is 1.

Therefore, GCD of numbers 119, 786, 960, 377 is 1

Given Input Data is 119, 786, 960, 377

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 786 is 2 x 3 x 131

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

Prime Factorization of 377 is 13 x 29

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(119, 786) = 93534

GCD(119, 786) = ( 119 x 786 ) / 93534

GCD(119, 786) = 93534 / 93534

GCD(119, 786) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 119, 786, 960, 377 is 1

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1. What is the GCD of 119, 786, 960, 377?

GCD of 119, 786, 960, 377 is 1

2. Where do I get the detailed procedure to find GCD of 119, 786, 960, 377?

You can find a detailed procedure to find GCD of 119, 786, 960, 377 on our page.

3. How to find GCD of 119, 786, 960, 377 on a calculator?

You can find the GCD of 119, 786, 960, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.