GCD of 104, 974, 329, 981 Calculator

Given Input numbers are 104, 974, 329, 981

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 974

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

1, 2, 487, 974

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 104, 974, 329, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 974, 329, 981 is 1.

Therefore, GCD of numbers 104, 974, 329, 981 is 1

Given Input Data is 104, 974, 329, 981

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 974 is 2 x 487

Prime Factorization of 329 is 7 x 47

Prime Factorization of 981 is 3 x 3 x 109

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(104, 974) = 50648

GCD(104, 974) = ( 104 x 974 ) / 50648

GCD(104, 974) = 101296 / 50648

GCD(104, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 104, 974, 329, 981 is 1

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1. What is the GCD of 104, 974, 329, 981?

GCD of 104, 974, 329, 981 is 1

2. Where do I get the detailed procedure to find GCD of 104, 974, 329, 981?

You can find a detailed procedure to find GCD of 104, 974, 329, 981 on our page.

3. How to find GCD of 104, 974, 329, 981 on a calculator?

You can find the GCD of 104, 974, 329, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.