GCD of 119, 228, 78, 165 Calculator

Given Input numbers are 119, 228, 78, 165

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 119, 228, 78, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 228, 78, 165 is 1.

Therefore, GCD of numbers 119, 228, 78, 165 is 1

Given Input Data is 119, 228, 78, 165

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 119 is 7 x 17

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 165 is 3 x 5 x 11

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(119, 228) = 27132

GCD(119, 228) = ( 119 x 228 ) / 27132

GCD(119, 228) = 27132 / 27132

GCD(119, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 119, 228, 78, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 944, 49, 579
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• GCD of 426, 293, 92, 673

1. What is the GCD of 119, 228, 78, 165?

GCD of 119, 228, 78, 165 is 1

2. Where do I get the detailed procedure to find GCD of 119, 228, 78, 165?

You can find a detailed procedure to find GCD of 119, 228, 78, 165 on our page.

3. How to find GCD of 119, 228, 78, 165 on a calculator?

You can find the GCD of 119, 228, 78, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.