GCD of 204, 762, 24, 655 Calculator

Given Input numbers are 204, 762, 24, 655

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 204, 762, 24, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 762, 24, 655 is 1.

Therefore, GCD of numbers 204, 762, 24, 655 is 1

Given Input Data is 204, 762, 24, 655

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 655 is 5 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(204, 762) = 25908

GCD(204, 762) = ( 204 x 762 ) / 25908

GCD(204, 762) = 155448 / 25908

GCD(204, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 24

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

LCM(6, 24) = 24

GCD(6, 24) = ( 6 x 24 ) / 24

GCD(6, 24) = 144 / 24

GCD(6, 24) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 655

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

LCM(6, 655) = 3930

GCD(6, 655) = ( 6 x 655 ) / 3930

GCD(6, 655) = 3930 / 3930

GCD(6, 655) = 1

GCD of 204, 762, 24, 655 is 1

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1. What is the GCD of 204, 762, 24, 655?

GCD of 204, 762, 24, 655 is 1

2. Where do I get the detailed procedure to find GCD of 204, 762, 24, 655?

You can find a detailed procedure to find GCD of 204, 762, 24, 655 on our page.

3. How to find GCD of 204, 762, 24, 655 on a calculator?

You can find the GCD of 204, 762, 24, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.