GCD of 48, 540, 142, 252 Calculator

Given Input numbers are 48, 540, 142, 252

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 48, 540, 142, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 540, 142, 252 is 2.

Therefore, GCD of numbers 48, 540, 142, 252 is 2

Given Input Data is 48, 540, 142, 252

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 142 is 2 x 71

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(48, 540) = 2160

GCD(48, 540) = ( 48 x 540 ) / 2160

GCD(48, 540) = 25920 / 2160

GCD(48, 540) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 142

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

LCM(12, 142) = 852

GCD(12, 142) = ( 12 x 142 ) / 852

GCD(12, 142) = 1704 / 852

GCD(12, 142) = 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 48, 540, 142, 252 is 2

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1. What is the GCD of 48, 540, 142, 252?

GCD of 48, 540, 142, 252 is 2

2. Where do I get the detailed procedure to find GCD of 48, 540, 142, 252?

You can find a detailed procedure to find GCD of 48, 540, 142, 252 on our page.

3. How to find GCD of 48, 540, 142, 252 on a calculator?

You can find the GCD of 48, 540, 142, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.