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GCD of 226, 690, 208, 636 Calculator

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


Online GCD Calculator is useful to find the GCD of 226, 690, 208, 636 quickly. Get the easiest ways to solve the greatest common divisor of 226, 690, 208, 636 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 226, 690, 208, 636 with Factoring?

Given Input numbers are 226, 690, 208, 636

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636


GCD of numbers is the greatest common divisor

So, the GCD (226, 690, 208, 636) = 2.

Find GCD of 226, 690, 208, 636 using Prime Factorization

Given numbers are 226, 690, 208, 636

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 21

Therefore, GCD of 226, 690, 208, 636 is 2.

Steps to Calculate GCD of 226, 690, 208, 636 using LCM Formula

Given numbers are 226, 690, 208, 636

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

Apply this formula for all numbers.

Step1:

LCM(226, 690) = 77970

GCD(226, 690) = ( 226 x 690 ) / 77970

= 226 / 690

= 226


Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2


Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2


So, Greatest Common Divisor of 226, 690, 208, 636 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 226, 690, 208, 636

Given numbers are 226, 690, 208, 636
The greatest common divisor of numbers 226, 690, 208, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 690, 208, 636 is 2.

FAQs on GCD of 226, 690, 208, 636 Calculator

1. What is the GCD of 226, 690, 208, 636?

GCD of given numbers 226, 690, 208, 636 is 2


2. How to calculate the greatest common divisor of 226, 690, 208, 636?

We can find the highest common divisor of 226, 690, 208, 636 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 226, 690, 208, 636 i.e 2.


3. How can I use the GCD of 226, 690, 208, 636Calculator?

Out the numbers 226, 690, 208, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.