GCD of 624, 120, 331, 842 Calculator

Given Input numbers are 624, 120, 331, 842

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 624, 120, 331, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 120, 331, 842 is 1.

Therefore, GCD of numbers 624, 120, 331, 842 is 1

Given Input Data is 624, 120, 331, 842

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 331 is 331

Prime Factorization of 842 is 2 x 421

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(624, 120) = 3120

GCD(624, 120) = ( 624 x 120 ) / 3120

GCD(624, 120) = 74880 / 3120

GCD(624, 120) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 331

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

LCM(24, 331) = 7944

GCD(24, 331) = ( 24 x 331 ) / 7944

GCD(24, 331) = 7944 / 7944

GCD(24, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 624, 120, 331, 842 is 1

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1. What is the GCD of 624, 120, 331, 842?

GCD of 624, 120, 331, 842 is 1

2. Where do I get the detailed procedure to find GCD of 624, 120, 331, 842?

You can find a detailed procedure to find GCD of 624, 120, 331, 842 on our page.

3. How to find GCD of 624, 120, 331, 842 on a calculator?

You can find the GCD of 624, 120, 331, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.