GCD of 124, 808, 120, 315 Calculator

Given Input numbers are 124, 808, 120, 315

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 124, 808, 120, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 808, 120, 315 is 1.

Therefore, GCD of numbers 124, 808, 120, 315 is 1

Given Input Data is 124, 808, 120, 315

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(124, 808) = 25048

GCD(124, 808) = ( 124 x 808 ) / 25048

GCD(124, 808) = 100192 / 25048

GCD(124, 808) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 315

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

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

GCD(4, 315) = 1260 / 1260

GCD(4, 315) = 1

GCD of 124, 808, 120, 315 is 1

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1. What is the GCD of 124, 808, 120, 315?

GCD of 124, 808, 120, 315 is 1

2. Where do I get the detailed procedure to find GCD of 124, 808, 120, 315?

You can find a detailed procedure to find GCD of 124, 808, 120, 315 on our page.

3. How to find GCD of 124, 808, 120, 315 on a calculator?

You can find the GCD of 124, 808, 120, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.