GCD of 968, 369, 14 Calculator

Given Input numbers are 968, 369, 14

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 14

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

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 968, 369, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 369, 14 is 1.

Therefore, GCD of numbers 968, 369, 14 is 1

Given Input Data is 968, 369, 14

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 14 is 2 x 7

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(968, 369) = 357192

GCD(968, 369) = ( 968 x 369 ) / 357192

GCD(968, 369) = 357192 / 357192

GCD(968, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 968, 369, 14 is 1

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1. What is the GCD of 968, 369, 14?

GCD of 968, 369, 14 is 1

2. Where do I get the detailed procedure to find GCD of 968, 369, 14?

You can find a detailed procedure to find GCD of 968, 369, 14 on our page.

3. How to find GCD of 968, 369, 14 on a calculator?

You can find the GCD of 968, 369, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.