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GCD of 209, 338, 859, 225 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, 338, 859, 225 quickly. Get the easiest ways to solve the greatest common divisor of 209, 338, 859, 225 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 209, 338, 859, 225 with Factoring?

Given Input numbers are 209, 338, 859, 225

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 859 :

The positive integer divisors of 859 that completely divides 859 are.

1, 859

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225


GCD of numbers is the greatest common divisor

So, the GCD (209, 338, 859, 225) = 1.

Find GCD of 209, 338, 859, 225 using Prime Factorization

Given numbers are 209, 338, 859, 225

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 338 are 2 x 13 x 13

Prime factors of 859 are 859

Prime factors of 225 are 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 209, 338, 859, 225 using LCM Formula

Given numbers are 209, 338, 859, 225

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

Apply this formula for all numbers.

Step1:

LCM(209, 338) = 70642

GCD(209, 338) = ( 209 x 338 ) / 70642

= 209 / 338

= 209


Step2:

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

= 1 / 859

= 1


Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1


So, Greatest Common Divisor of 209, 338, 859, 225 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 209, 338, 859, 225

Given numbers are 209, 338, 859, 225
The greatest common divisor of numbers 209, 338, 859, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 338, 859, 225 is 1.

FAQs on GCD of 209, 338, 859, 225 Calculator

1. What is the GCD of 209, 338, 859, 225?

GCD of given numbers 209, 338, 859, 225 is 1


2. How to calculate the greatest common divisor of 209, 338, 859, 225?

We can find the highest common divisor of 209, 338, 859, 225 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, 338, 859, 225 i.e 1.


3. How can I use the GCD of 209, 338, 859, 225Calculator?

Out the numbers 209, 338, 859, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.