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GCD of 249, 422, 212 Calculator

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


Online GCD Calculator is useful to find the GCD of 249, 422, 212 quickly. Get the easiest ways to solve the greatest common divisor of 249, 422, 212 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 249, 422, 212 with Factoring?

Given Input numbers are 249, 422, 212

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212


GCD of numbers is the greatest common divisor

So, the GCD (249, 422, 212) = 1.

Find GCD of 249, 422, 212 using Prime Factorization

Given numbers are 249, 422, 212

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 422 are 2 x 211

Prime factors of 212 are 2 x 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 249, 422, 212 using LCM Formula

Given numbers are 249, 422, 212

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

Apply this formula for all numbers.

Step1:

LCM(249, 422) = 105078

GCD(249, 422) = ( 249 x 422 ) / 105078

= 249 / 422

= 249


Step2:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1


So, Greatest Common Divisor of 249, 422, 212 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 249, 422, 212

Given numbers are 249, 422, 212
The greatest common divisor of numbers 249, 422, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 422, 212 is 1.

FAQs on GCD of 249, 422, 212 Calculator

1. What is the GCD of 249, 422, 212?

GCD of given numbers 249, 422, 212 is 1


2. How to calculate the greatest common divisor of 249, 422, 212?

We can find the highest common divisor of 249, 422, 212 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 249, 422, 212 i.e 1.


3. How can I use the GCD of 249, 422, 212Calculator?

Out the numbers 249, 422, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.