GCD of 117, 361, 786 Calculator

Given Input numbers are 117, 361, 786

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 117, 361, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 361, 786 is 1.

Therefore, GCD of numbers 117, 361, 786 is 1

Given Input Data is 117, 361, 786

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 361 is 19 x 19

Prime Factorization of 786 is 2 x 3 x 131

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(117, 361) = 42237

GCD(117, 361) = ( 117 x 361 ) / 42237

GCD(117, 361) = 42237 / 42237

GCD(117, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 117, 361, 786 is 1

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1. What is the GCD of 117, 361, 786?

GCD of 117, 361, 786 is 1

2. Where do I get the detailed procedure to find GCD of 117, 361, 786?

You can find a detailed procedure to find GCD of 117, 361, 786 on our page.

3. How to find GCD of 117, 361, 786 on a calculator?

You can find the GCD of 117, 361, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.