GCD of 624, 398, 852, 107 Calculator

Given Input numbers are 624, 398, 852, 107

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 624, 398, 852, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 398, 852, 107 is 1.

Therefore, GCD of numbers 624, 398, 852, 107 is 1

Given Input Data is 624, 398, 852, 107

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 398 is 2 x 199

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 107 is 107

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, 398) = 124176

GCD(624, 398) = ( 624 x 398 ) / 124176

GCD(624, 398) = 248352 / 124176

GCD(624, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 624, 398, 852, 107 is 1

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1. What is the GCD of 624, 398, 852, 107?

GCD of 624, 398, 852, 107 is 1

2. Where do I get the detailed procedure to find GCD of 624, 398, 852, 107?

You can find a detailed procedure to find GCD of 624, 398, 852, 107 on our page.

3. How to find GCD of 624, 398, 852, 107 on a calculator?

You can find the GCD of 624, 398, 852, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.