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GCD of 212, 774, 690 Calculator

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


Online GCD Calculator is useful to find the GCD of 212, 774, 690 quickly. Get the easiest ways to solve the greatest common divisor of 212, 774, 690 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 212, 774, 690 with Factoring?

Given Input numbers are 212, 774, 690

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

Divisors of 212 :

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

1, 2, 4, 53, 106, 212

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690


GCD of numbers is the greatest common divisor

So, the GCD (212, 774, 690) = 2.

Find GCD of 212, 774, 690 using Prime Factorization

Given numbers are 212, 774, 690

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 212, 774, 690 is 2.

Steps to Calculate GCD of 212, 774, 690 using LCM Formula

Given numbers are 212, 774, 690

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

Apply this formula for all numbers.

Step1:

LCM(212, 774) = 82044

GCD(212, 774) = ( 212 x 774 ) / 82044

= 212 / 774

= 212


Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2


So, Greatest Common Divisor of 212, 774, 690 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 212, 774, 690

Given numbers are 212, 774, 690
The greatest common divisor of numbers 212, 774, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 774, 690 is 2.

FAQs on GCD of 212, 774, 690 Calculator

1. What is the GCD of 212, 774, 690?

GCD of given numbers 212, 774, 690 is 2


2. How to calculate the greatest common divisor of 212, 774, 690?

We can find the highest common divisor of 212, 774, 690 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 212, 774, 690 i.e 2.


3. How can I use the GCD of 212, 774, 690Calculator?

Out the numbers 212, 774, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.