GCD of 126, 120, 31, 518 Calculator

Given Input numbers are 126, 120, 31, 518

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 126, 120, 31, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 120, 31, 518 is 1.

Therefore, GCD of numbers 126, 120, 31, 518 is 1

Given Input Data is 126, 120, 31, 518

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

Prime Factorization of 31 is 31

Prime Factorization of 518 is 2 x 7 x 37

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(126, 120) = 2520

GCD(126, 120) = ( 126 x 120 ) / 2520

GCD(126, 120) = 15120 / 2520

GCD(126, 120) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 31

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

LCM(6, 31) = 186

GCD(6, 31) = ( 6 x 31 ) / 186

GCD(6, 31) = 186 / 186

GCD(6, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 126, 120, 31, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 967, 70, 830
• GCD of 782, 423, 39, 580
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• GCD of 139, 891, 68, 245
• GCD of 217, 786, 93, 522

1. What is the GCD of 126, 120, 31, 518?

GCD of 126, 120, 31, 518 is 1

2. Where do I get the detailed procedure to find GCD of 126, 120, 31, 518?

You can find a detailed procedure to find GCD of 126, 120, 31, 518 on our page.

3. How to find GCD of 126, 120, 31, 518 on a calculator?

You can find the GCD of 126, 120, 31, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.