GCD of 204, 646, 77, 630 Calculator

Given Input numbers are 204, 646, 77, 630

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 204, 646, 77, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 646, 77, 630 is 1.

Therefore, GCD of numbers 204, 646, 77, 630 is 1

Given Input Data is 204, 646, 77, 630

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 646 is 2 x 17 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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, 646) = 3876

GCD(204, 646) = ( 204 x 646 ) / 3876

GCD(204, 646) = 131784 / 3876

GCD(204, 646) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 77

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

LCM(34, 77) = 2618

GCD(34, 77) = ( 34 x 77 ) / 2618

GCD(34, 77) = 2618 / 2618

GCD(34, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 204, 646, 77, 630 is 1

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1. What is the GCD of 204, 646, 77, 630?

GCD of 204, 646, 77, 630 is 1

2. Where do I get the detailed procedure to find GCD of 204, 646, 77, 630?

You can find a detailed procedure to find GCD of 204, 646, 77, 630 on our page.

3. How to find GCD of 204, 646, 77, 630 on a calculator?

You can find the GCD of 204, 646, 77, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.