GCD of 54, 189, 435, 119 Calculator

Given Input numbers are 54, 189, 435, 119

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 119

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

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 54, 189, 435, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 189, 435, 119 is 1.

Therefore, GCD of numbers 54, 189, 435, 119 is 1

Given Input Data is 54, 189, 435, 119

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 119 is 7 x 17

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(54, 189) = 378

GCD(54, 189) = ( 54 x 189 ) / 378

GCD(54, 189) = 10206 / 378

GCD(54, 189) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 435

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

LCM(27, 435) = 3915

GCD(27, 435) = ( 27 x 435 ) / 3915

GCD(27, 435) = 11745 / 3915

GCD(27, 435) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 119

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

LCM(3, 119) = 357

GCD(3, 119) = ( 3 x 119 ) / 357

GCD(3, 119) = 357 / 357

GCD(3, 119) = 1

GCD of 54, 189, 435, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 926, 984, 932
• GCD of 46, 504, 517, 510
• GCD of 69, 399, 320, 934
• GCD of 29, 892, 194, 753
• GCD of 46, 996, 321, 133

1. What is the GCD of 54, 189, 435, 119?

GCD of 54, 189, 435, 119 is 1

2. Where do I get the detailed procedure to find GCD of 54, 189, 435, 119?

You can find a detailed procedure to find GCD of 54, 189, 435, 119 on our page.

3. How to find GCD of 54, 189, 435, 119 on a calculator?

You can find the GCD of 54, 189, 435, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.