GCD of 389, 132, 74, 135 Calculator

Given Input numbers are 389, 132, 74, 135

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 389, 132, 74, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 132, 74, 135 is 1.

Therefore, GCD of numbers 389, 132, 74, 135 is 1

Given Input Data is 389, 132, 74, 135

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

Prime Factorization of 389 is 389

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(389, 132) = 51348

GCD(389, 132) = ( 389 x 132 ) / 51348

GCD(389, 132) = 51348 / 51348

GCD(389, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 389, 132, 74, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 258, 31, 550
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• GCD of 962, 827, 94, 215

1. What is the GCD of 389, 132, 74, 135?

GCD of 389, 132, 74, 135 is 1

2. Where do I get the detailed procedure to find GCD of 389, 132, 74, 135?

You can find a detailed procedure to find GCD of 389, 132, 74, 135 on our page.

3. How to find GCD of 389, 132, 74, 135 on a calculator?

You can find the GCD of 389, 132, 74, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.