GCD of 252, 280, 408, 120 Calculator

Given Input numbers are 252, 280, 408, 120

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

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

Greatest Common Divisior

We found the divisors of 252, 280, 408, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 280, 408, 120 is 4.

Therefore, GCD of numbers 252, 280, 408, 120 is 4

Given Input Data is 252, 280, 408, 120

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

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(252, 280) = 2520

GCD(252, 280) = ( 252 x 280 ) / 2520

GCD(252, 280) = 70560 / 2520

GCD(252, 280) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 408

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

LCM(28, 408) = 2856

GCD(28, 408) = ( 28 x 408 ) / 2856

GCD(28, 408) = 11424 / 2856

GCD(28, 408) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

GCD of 252, 280, 408, 120 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 643, 680, 835
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• GCD of 572, 824, 218, 572

1. What is the GCD of 252, 280, 408, 120?

GCD of 252, 280, 408, 120 is 4

2. Where do I get the detailed procedure to find GCD of 252, 280, 408, 120?

You can find a detailed procedure to find GCD of 252, 280, 408, 120 on our page.

3. How to find GCD of 252, 280, 408, 120 on a calculator?

You can find the GCD of 252, 280, 408, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.