GCD of 120, 442, 71, 972 Calculator

Given Input numbers are 120, 442, 71, 972

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 120, 442, 71, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 442, 71, 972 is 1.

Therefore, GCD of numbers 120, 442, 71, 972 is 1

Given Input Data is 120, 442, 71, 972

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 442 is 2 x 13 x 17

Prime Factorization of 71 is 71

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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, 442) = 26520

GCD(120, 442) = ( 120 x 442 ) / 26520

GCD(120, 442) = 53040 / 26520

GCD(120, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 120, 442, 71, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 994, 35, 279
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• GCD of 363, 722, 27, 373
• GCD of 124, 630, 71, 184
• GCD of 748, 986, 14, 860

1. What is the GCD of 120, 442, 71, 972?

GCD of 120, 442, 71, 972 is 1

2. Where do I get the detailed procedure to find GCD of 120, 442, 71, 972?

You can find a detailed procedure to find GCD of 120, 442, 71, 972 on our page.

3. How to find GCD of 120, 442, 71, 972 on a calculator?

You can find the GCD of 120, 442, 71, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.