GCD of 115, 369, 132, 788 Calculator

Given Input numbers are 115, 369, 132, 788

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 115, 369, 132, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 369, 132, 788 is 1.

Therefore, GCD of numbers 115, 369, 132, 788 is 1

Given Input Data is 115, 369, 132, 788

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 369 is 3 x 3 x 41

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

Prime Factorization of 788 is 2 x 2 x 197

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(115, 369) = 42435

GCD(115, 369) = ( 115 x 369 ) / 42435

GCD(115, 369) = 42435 / 42435

GCD(115, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 115, 369, 132, 788 is 1

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1. What is the GCD of 115, 369, 132, 788?

GCD of 115, 369, 132, 788 is 1

2. Where do I get the detailed procedure to find GCD of 115, 369, 132, 788?

You can find a detailed procedure to find GCD of 115, 369, 132, 788 on our page.

3. How to find GCD of 115, 369, 132, 788 on a calculator?

You can find the GCD of 115, 369, 132, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.