GCD of 205, 119, 825 Calculator

Given Input numbers are 205, 119, 825

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

Divisors of 205 :

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

1, 5, 41, 205

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (205, 119, 825) = 1.

Given numbers are 205, 119, 825

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 119 are 7 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 205, 119, 825

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

Apply this formula for all numbers.

Step1:

LCM(205, 119) = 24395

GCD(205, 119) = ( 205 x 119 ) / 24395

= 205 / 119

= 205

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 205, 119, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 723, 809
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Given numbers are 205, 119, 825
The greatest common divisor of numbers 205, 119, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 119, 825 is 1.

1. What is the GCD of 205, 119, 825?

GCD of given numbers 205, 119, 825 is 1

2. How to calculate the greatest common divisor of 205, 119, 825?

We can find the highest common divisor of 205, 119, 825 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 205, 119, 825 i.e 1.

3. How can I use the GCD of 205, 119, 825Calculator?

Out the numbers 205, 119, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.