GCD of 368, 630, 15, 123 Calculator

Given Input numbers are 368, 630, 15, 123

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 368, 630, 15, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 630, 15, 123 is 1.

Therefore, GCD of numbers 368, 630, 15, 123 is 1

Given Input Data is 368, 630, 15, 123

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 123 is 3 x 41

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(368, 630) = 115920

GCD(368, 630) = ( 368 x 630 ) / 115920

GCD(368, 630) = 231840 / 115920

GCD(368, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 368, 630, 15, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 340, 91, 640
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• GCD of 834, 849, 66, 854

1. What is the GCD of 368, 630, 15, 123?

GCD of 368, 630, 15, 123 is 1

2. Where do I get the detailed procedure to find GCD of 368, 630, 15, 123?

You can find a detailed procedure to find GCD of 368, 630, 15, 123 on our page.

3. How to find GCD of 368, 630, 15, 123 on a calculator?

You can find the GCD of 368, 630, 15, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.