GCD of 132, 298, 997, 579 Calculator

Given Input numbers are 132, 298, 997, 579

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 132, 298, 997, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 298, 997, 579 is 1.

Therefore, GCD of numbers 132, 298, 997, 579 is 1

Given Input Data is 132, 298, 997, 579

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 298 is 2 x 149

Prime Factorization of 997 is 997

Prime Factorization of 579 is 3 x 193

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(132, 298) = 19668

GCD(132, 298) = ( 132 x 298 ) / 19668

GCD(132, 298) = 39336 / 19668

GCD(132, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 132, 298, 997, 579 is 1

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1. What is the GCD of 132, 298, 997, 579?

GCD of 132, 298, 997, 579 is 1

2. Where do I get the detailed procedure to find GCD of 132, 298, 997, 579?

You can find a detailed procedure to find GCD of 132, 298, 997, 579 on our page.

3. How to find GCD of 132, 298, 997, 579 on a calculator?

You can find the GCD of 132, 298, 997, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.