GCD of 174, 109, 974, 242 Calculator

Given Input numbers are 174, 109, 974, 242

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 974

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

1, 2, 487, 974

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 174, 109, 974, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 109, 974, 242 is 1.

Therefore, GCD of numbers 174, 109, 974, 242 is 1

Given Input Data is 174, 109, 974, 242

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 109 is 109

Prime Factorization of 974 is 2 x 487

Prime Factorization of 242 is 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(174, 109) = 18966

GCD(174, 109) = ( 174 x 109 ) / 18966

GCD(174, 109) = 18966 / 18966

GCD(174, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 174, 109, 974, 242 is 1

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• GCD of 121, 723, 387, 652
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1. What is the GCD of 174, 109, 974, 242?

GCD of 174, 109, 974, 242 is 1

2. Where do I get the detailed procedure to find GCD of 174, 109, 974, 242?

You can find a detailed procedure to find GCD of 174, 109, 974, 242 on our page.

3. How to find GCD of 174, 109, 974, 242 on a calculator?

You can find the GCD of 174, 109, 974, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.