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GCD of 209, 107, 91 Calculator

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


Online GCD Calculator is useful to find the GCD of 209, 107, 91 quickly. Get the easiest ways to solve the greatest common divisor of 209, 107, 91 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 209, 107, 91 with Factoring?

Given Input numbers are 209, 107, 91

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

Divisors of 209 :

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

1, 11, 19, 209

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 91 :

The positive integer divisors of 91 that completely divides 91 are.

1, 7, 13, 91


GCD of numbers is the greatest common divisor

So, the GCD (209, 107, 91) = 1.

Find GCD of 209, 107, 91 using Prime Factorization

Given numbers are 209, 107, 91

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 107 are 107

Prime factors of 91 are 7 x 13

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

Steps to Calculate GCD of 209, 107, 91 using LCM Formula

Given numbers are 209, 107, 91

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

Apply this formula for all numbers.

Step1:

LCM(209, 107) = 22363

GCD(209, 107) = ( 209 x 107 ) / 22363

= 209 / 107

= 209


Step2:

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

= 1 / 91

= 1


So, Greatest Common Divisor of 209, 107, 91 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 209, 107, 91

Given numbers are 209, 107, 91
The greatest common divisor of numbers 209, 107, 91 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 107, 91 is 1.

FAQs on GCD of 209, 107, 91 Calculator

1. What is the GCD of 209, 107, 91?

GCD of given numbers 209, 107, 91 is 1


2. How to calculate the greatest common divisor of 209, 107, 91?

We can find the highest common divisor of 209, 107, 91 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 209, 107, 91 i.e 1.


3. How can I use the GCD of 209, 107, 91Calculator?

Out the numbers 209, 107, 91 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.