GCD of 782, 520, 209, 378 Calculator

Given Input numbers are 782, 520, 209, 378

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 782, 520, 209, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 520, 209, 378 is 1.

Therefore, GCD of numbers 782, 520, 209, 378 is 1

Given Input Data is 782, 520, 209, 378

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 209 is 11 x 19

Prime Factorization of 378 is 2 x 3 x 3 x 3 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(782, 520) = 203320

GCD(782, 520) = ( 782 x 520 ) / 203320

GCD(782, 520) = 406640 / 203320

GCD(782, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 782, 520, 209, 378 is 1

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• GCD of 970, 660, 191, 669
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1. What is the GCD of 782, 520, 209, 378?

GCD of 782, 520, 209, 378 is 1

2. Where do I get the detailed procedure to find GCD of 782, 520, 209, 378?

You can find a detailed procedure to find GCD of 782, 520, 209, 378 on our page.

3. How to find GCD of 782, 520, 209, 378 on a calculator?

You can find the GCD of 782, 520, 209, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.