GCD of 180, 786, 755 Calculator

Given Input numbers are 180, 786, 755

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 786

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

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 180, 786, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 786, 755 is 1.

Therefore, GCD of numbers 180, 786, 755 is 1

Given Input Data is 180, 786, 755

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 755 is 5 x 151

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(180, 786) = 23580

GCD(180, 786) = ( 180 x 786 ) / 23580

GCD(180, 786) = 141480 / 23580

GCD(180, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 755

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

LCM(6, 755) = 4530

GCD(6, 755) = ( 6 x 755 ) / 4530

GCD(6, 755) = 4530 / 4530

GCD(6, 755) = 1

GCD of 180, 786, 755 is 1

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1. What is the GCD of 180, 786, 755?

GCD of 180, 786, 755 is 1

2. Where do I get the detailed procedure to find GCD of 180, 786, 755?

You can find a detailed procedure to find GCD of 180, 786, 755 on our page.

3. How to find GCD of 180, 786, 755 on a calculator?

You can find the GCD of 180, 786, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.