GCD of 120, 480, 22, 252 Calculator

Given Input numbers are 120, 480, 22, 252

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 120, 480, 22, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 480, 22, 252 is 2.

Therefore, GCD of numbers 120, 480, 22, 252 is 2

Given Input Data is 120, 480, 22, 252

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 480) = 480

GCD(120, 480) = ( 120 x 480 ) / 480

GCD(120, 480) = 57600 / 480

GCD(120, 480) = 120

Step2:

Here we consider the GCD from the above i.e. 120 as first number and the next as 22

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

LCM(120, 22) = 1320

GCD(120, 22) = ( 120 x 22 ) / 1320

GCD(120, 22) = 2640 / 1320

GCD(120, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

GCD of 120, 480, 22, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 928, 65, 986
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• GCD of 998, 320, 58, 993

1. What is the GCD of 120, 480, 22, 252?

GCD of 120, 480, 22, 252 is 2

2. Where do I get the detailed procedure to find GCD of 120, 480, 22, 252?

You can find a detailed procedure to find GCD of 120, 480, 22, 252 on our page.

3. How to find GCD of 120, 480, 22, 252 on a calculator?

You can find the GCD of 120, 480, 22, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.