GCD of 120, 872, 14, 371 Calculator

Given Input numbers are 120, 872, 14, 371

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

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 120, 872, 14, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 872, 14, 371 is 1.

Therefore, GCD of numbers 120, 872, 14, 371 is 1

Given Input Data is 120, 872, 14, 371

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

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 14 is 2 x 7

Prime Factorization of 371 is 7 x 53

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(120, 872) = 13080

GCD(120, 872) = ( 120 x 872 ) / 13080

GCD(120, 872) = 104640 / 13080

GCD(120, 872) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 14

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

LCM(8, 14) = 56

GCD(8, 14) = ( 8 x 14 ) / 56

GCD(8, 14) = 112 / 56

GCD(8, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

GCD of 120, 872, 14, 371 is 1

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1. What is the GCD of 120, 872, 14, 371?

GCD of 120, 872, 14, 371 is 1

2. Where do I get the detailed procedure to find GCD of 120, 872, 14, 371?

You can find a detailed procedure to find GCD of 120, 872, 14, 371 on our page.

3. How to find GCD of 120, 872, 14, 371 on a calculator?

You can find the GCD of 120, 872, 14, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.