GCD of 209, 754, 968 Calculator

Given Input numbers are 209, 754, 968

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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

Greatest Common Divisior

We found the divisors of 209, 754, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 754, 968 is 1.

Therefore, GCD of numbers 209, 754, 968 is 1

Given Input Data is 209, 754, 968

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 754 is 2 x 13 x 29

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

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(209, 754) = 157586

GCD(209, 754) = ( 209 x 754 ) / 157586

GCD(209, 754) = 157586 / 157586

GCD(209, 754) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 209, 754, 968 is 1

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1. What is the GCD of 209, 754, 968?

GCD of 209, 754, 968 is 1

2. Where do I get the detailed procedure to find GCD of 209, 754, 968?

You can find a detailed procedure to find GCD of 209, 754, 968 on our page.

3. How to find GCD of 209, 754, 968 on a calculator?

You can find the GCD of 209, 754, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.