GCD of 624, 732, 994, 129 Calculator

Given Input numbers are 624, 732, 994, 129

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 624, 732, 994, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 732, 994, 129 is 1.

Therefore, GCD of numbers 624, 732, 994, 129 is 1

Given Input Data is 624, 732, 994, 129

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 129 is 3 x 43

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, 732) = 38064

GCD(624, 732) = ( 624 x 732 ) / 38064

GCD(624, 732) = 456768 / 38064

GCD(624, 732) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 994

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

LCM(12, 994) = 5964

GCD(12, 994) = ( 12 x 994 ) / 5964

GCD(12, 994) = 11928 / 5964

GCD(12, 994) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 129

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

LCM(2, 129) = 258

GCD(2, 129) = ( 2 x 129 ) / 258

GCD(2, 129) = 258 / 258

GCD(2, 129) = 1

GCD of 624, 732, 994, 129 is 1

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1. What is the GCD of 624, 732, 994, 129?

GCD of 624, 732, 994, 129 is 1

2. Where do I get the detailed procedure to find GCD of 624, 732, 994, 129?

You can find a detailed procedure to find GCD of 624, 732, 994, 129 on our page.

3. How to find GCD of 624, 732, 994, 129 on a calculator?

You can find the GCD of 624, 732, 994, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.