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GCD of 356, 396, 806, 209 Calculator

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


Online GCD Calculator is useful to find the GCD of 356, 396, 806, 209 quickly. Get the easiest ways to solve the greatest common divisor of 356, 396, 806, 209 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 356, 396, 806, 209 with Factoring?

Given Input numbers are 356, 396, 806, 209

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209


GCD of numbers is the greatest common divisor

So, the GCD (356, 396, 806, 209) = 1.

Find GCD of 356, 396, 806, 209 using Prime Factorization

Given numbers are 356, 396, 806, 209

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 806 are 2 x 13 x 31

Prime factors of 209 are 11 x 19

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

Steps to Calculate GCD of 356, 396, 806, 209 using LCM Formula

Given numbers are 356, 396, 806, 209

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

Apply this formula for all numbers.

Step1:

LCM(356, 396) = 35244

GCD(356, 396) = ( 356 x 396 ) / 35244

= 356 / 396

= 356


Step2:

LCM(4, 806) = 1612

GCD(4, 806) = ( 4 x 806 ) / 1612

= 4 / 806

= 4


Step3:

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

= 2 / 209

= 2


So, Greatest Common Divisor of 356, 396, 806, 209 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 356, 396, 806, 209

Given numbers are 356, 396, 806, 209
The greatest common divisor of numbers 356, 396, 806, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 396, 806, 209 is 1.

FAQs on GCD of 356, 396, 806, 209 Calculator

1. What is the GCD of 356, 396, 806, 209?

GCD of given numbers 356, 396, 806, 209 is 1


2. How to calculate the greatest common divisor of 356, 396, 806, 209?

We can find the highest common divisor of 356, 396, 806, 209 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 356, 396, 806, 209 i.e 1.


3. How can I use the GCD of 356, 396, 806, 209Calculator?

Out the numbers 356, 396, 806, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.