GCD of 189, 565, 209 Calculator

Given Input numbers are 189, 565, 209

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

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 (189, 565, 209) = 1.

Given numbers are 189, 565, 209

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 565 are 5 x 113

Prime factors of 209 are 11 x 19

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

Given numbers are 189, 565, 209

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

Apply this formula for all numbers.

Step1:

LCM(189, 565) = 106785

GCD(189, 565) = ( 189 x 565 ) / 106785

= 189 / 565

= 189

Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1

So, Greatest Common Divisor of 189, 565, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 941, 584
• GCD of 649, 691, 272
• GCD of 859, 745, 852
• GCD of 282, 343, 126
• GCD of 733, 727, 367

Given numbers are 189, 565, 209
The greatest common divisor of numbers 189, 565, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 565, 209 is 1.

1. What is the GCD of 189, 565, 209?

GCD of given numbers 189, 565, 209 is 1

2. How to calculate the greatest common divisor of 189, 565, 209?

We can find the highest common divisor of 189, 565, 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 189, 565, 209 i.e 1.

3. How can I use the GCD of 189, 565, 209Calculator?

Out the numbers 189, 565, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.