GCD of 107, 354, 960, 322 Calculator

Given Input numbers are 107, 354, 960, 322

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 107, 354, 960, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 354, 960, 322 is 1.

Therefore, GCD of numbers 107, 354, 960, 322 is 1

Given Input Data is 107, 354, 960, 322

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

Prime Factorization of 107 is 107

Prime Factorization of 354 is 2 x 3 x 59

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

Prime Factorization of 322 is 2 x 7 x 23

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(107, 354) = 37878

GCD(107, 354) = ( 107 x 354 ) / 37878

GCD(107, 354) = 37878 / 37878

GCD(107, 354) = 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 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 107, 354, 960, 322 is 1

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1. What is the GCD of 107, 354, 960, 322?

GCD of 107, 354, 960, 322 is 1

2. Where do I get the detailed procedure to find GCD of 107, 354, 960, 322?

You can find a detailed procedure to find GCD of 107, 354, 960, 322 on our page.

3. How to find GCD of 107, 354, 960, 322 on a calculator?

You can find the GCD of 107, 354, 960, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.