GCD of 119, 661, 171, 333 Calculator

Given Input numbers are 119, 661, 171, 333

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 119, 661, 171, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 661, 171, 333 is 1.

Therefore, GCD of numbers 119, 661, 171, 333 is 1

Given Input Data is 119, 661, 171, 333

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 661 is 661

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 333 is 3 x 3 x 37

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, 661) = 78659

GCD(119, 661) = ( 119 x 661 ) / 78659

GCD(119, 661) = 78659 / 78659

GCD(119, 661) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 119, 661, 171, 333 is 1

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1. What is the GCD of 119, 661, 171, 333?

GCD of 119, 661, 171, 333 is 1

2. Where do I get the detailed procedure to find GCD of 119, 661, 171, 333?

You can find a detailed procedure to find GCD of 119, 661, 171, 333 on our page.

3. How to find GCD of 119, 661, 171, 333 on a calculator?

You can find the GCD of 119, 661, 171, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.