GCD of 198, 974, 39, 291 Calculator

Given Input numbers are 198, 974, 39, 291

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 198, 974, 39, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 974, 39, 291 is 1.

Therefore, GCD of numbers 198, 974, 39, 291 is 1

Given Input Data is 198, 974, 39, 291

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 974 is 2 x 487

Prime Factorization of 39 is 3 x 13

Prime Factorization of 291 is 3 x 97

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(198, 974) = 96426

GCD(198, 974) = ( 198 x 974 ) / 96426

GCD(198, 974) = 192852 / 96426

GCD(198, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 198, 974, 39, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 994, 76, 774
• GCD of 582, 335, 21, 748
• GCD of 338, 135, 39, 640
• GCD of 352, 568, 79, 558
• GCD of 618, 313, 16, 801

1. What is the GCD of 198, 974, 39, 291?

GCD of 198, 974, 39, 291 is 1

2. Where do I get the detailed procedure to find GCD of 198, 974, 39, 291?

You can find a detailed procedure to find GCD of 198, 974, 39, 291 on our page.

3. How to find GCD of 198, 974, 39, 291 on a calculator?

You can find the GCD of 198, 974, 39, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.