GCD of 411, 252, 36, 852 Calculator

Given Input numbers are 411, 252, 36, 852

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

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 411, 252, 36, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 411, 252, 36, 852 is 3.

Therefore, GCD of numbers 411, 252, 36, 852 is 3

Given Input Data is 411, 252, 36, 852

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

Prime Factorization of 411 is 3 x 137

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(411, 252) = 34524

GCD(411, 252) = ( 411 x 252 ) / 34524

GCD(411, 252) = 103572 / 34524

GCD(411, 252) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 852

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

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

GCD(3, 852) = 2556 / 852

GCD(3, 852) = 3

GCD of 411, 252, 36, 852 is 3

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1. What is the GCD of 411, 252, 36, 852?

GCD of 411, 252, 36, 852 is 3

2. Where do I get the detailed procedure to find GCD of 411, 252, 36, 852?

You can find a detailed procedure to find GCD of 411, 252, 36, 852 on our page.

3. How to find GCD of 411, 252, 36, 852 on a calculator?

You can find the GCD of 411, 252, 36, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.