GCD of 189, 959, 205 Calculator

Given Input numbers are 189, 959, 205

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 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (189, 959, 205) = 1.

Given numbers are 189, 959, 205

The list of prime factors of all numbers are

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

Prime factors of 959 are 7 x 137

Prime factors of 205 are 5 x 41

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

Given numbers are 189, 959, 205

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

Apply this formula for all numbers.

Step1:

LCM(189, 959) = 25893

GCD(189, 959) = ( 189 x 959 ) / 25893

= 189 / 959

= 189

Step2:

LCM(7, 205) = 1435

GCD(7, 205) = ( 7 x 205 ) / 1435

= 7 / 205

= 7

So, Greatest Common Divisor of 189, 959, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 925, 692
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• GCD of 316, 571, 317
• GCD of 144, 890, 666
• GCD of 743, 752, 664

Given numbers are 189, 959, 205
The greatest common divisor of numbers 189, 959, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 959, 205 is 1.

1. What is the GCD of 189, 959, 205?

GCD of given numbers 189, 959, 205 is 1

2. How to calculate the greatest common divisor of 189, 959, 205?

We can find the highest common divisor of 189, 959, 205 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, 959, 205 i.e 1.

3. How can I use the GCD of 189, 959, 205Calculator?

Out the numbers 189, 959, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.