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GCD of 252, 216, 420 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 252, 216, 420 quickly. Get the easiest ways to solve the greatest common divisor of 252, 216, 420 i.e 12 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 216, 420 with Factoring?

Given Input numbers are 252, 216, 420

In the factoring method, we have to find the divisors of all numbers

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (252, 216, 420) = 12.

Find GCD of 252, 216, 420 using Prime Factorization

Given numbers are 252, 216, 420

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 22 x 31

Therefore, GCD of 252, 216, 420 is 12.

Steps to Calculate GCD of 252, 216, 420 using LCM Formula

Given numbers are 252, 216, 420

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(252, 216) = 1512

GCD(252, 216) = ( 252 x 216 ) / 1512

= 252 / 216

= 252


Step2:

LCM(36, 420) = 1260

GCD(36, 420) = ( 36 x 420 ) / 1260

= 36 / 420

= 36


So, Greatest Common Divisor of 252, 216, 420 is 12

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 216, 420

Given numbers are 252, 216, 420
The greatest common divisor of numbers 252, 216, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 216, 420 is 12.

FAQs on GCD of 252, 216, 420 Calculator

1. What is the GCD of 252, 216, 420?

GCD of given numbers 252, 216, 420 is 12


2. How to calculate the greatest common divisor of 252, 216, 420?

We can find the highest common divisor of 252, 216, 420 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 252, 216, 420 i.e 12.


3. How can I use the GCD of 252, 216, 420Calculator?

Out the numbers 252, 216, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.