GCD of 646, 509, 49, 780 Calculator

Given Input numbers are 646, 509, 49, 780

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

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 646, 509, 49, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 509, 49, 780 is 1.

Therefore, GCD of numbers 646, 509, 49, 780 is 1

Given Input Data is 646, 509, 49, 780

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 509 is 509

Prime Factorization of 49 is 7 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(646, 509) = 328814

GCD(646, 509) = ( 646 x 509 ) / 328814

GCD(646, 509) = 328814 / 328814

GCD(646, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 646, 509, 49, 780 is 1

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1. What is the GCD of 646, 509, 49, 780?

GCD of 646, 509, 49, 780 is 1

2. Where do I get the detailed procedure to find GCD of 646, 509, 49, 780?

You can find a detailed procedure to find GCD of 646, 509, 49, 780 on our page.

3. How to find GCD of 646, 509, 49, 780 on a calculator?

You can find the GCD of 646, 509, 49, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.