GCD of 252, 873, 150, 537 Calculator

Given Input numbers are 252, 873, 150, 537

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 252, 873, 150, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 873, 150, 537 is 3.

Therefore, GCD of numbers 252, 873, 150, 537 is 3

Given Input Data is 252, 873, 150, 537

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 873 is 3 x 3 x 97

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 537 is 3 x 179

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 873) = 24444

GCD(252, 873) = ( 252 x 873 ) / 24444

GCD(252, 873) = 219996 / 24444

GCD(252, 873) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 150

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

LCM(9, 150) = 450

GCD(9, 150) = ( 9 x 150 ) / 450

GCD(9, 150) = 1350 / 450

GCD(9, 150) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 537

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

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

GCD(3, 537) = 1611 / 537

GCD(3, 537) = 3

GCD of 252, 873, 150, 537 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 343, 374, 498
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• GCD of 149, 727, 995, 952

1. What is the GCD of 252, 873, 150, 537?

GCD of 252, 873, 150, 537 is 3

2. Where do I get the detailed procedure to find GCD of 252, 873, 150, 537?

You can find a detailed procedure to find GCD of 252, 873, 150, 537 on our page.

3. How to find GCD of 252, 873, 150, 537 on a calculator?

You can find the GCD of 252, 873, 150, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.