GCD of 378, 560, 522, 829 Calculator

Given Input numbers are 378, 560, 522, 829

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

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 378, 560, 522, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 560, 522, 829 is 1.

Therefore, GCD of numbers 378, 560, 522, 829 is 1

Given Input Data is 378, 560, 522, 829

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 829 is 829

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(378, 560) = 15120

GCD(378, 560) = ( 378 x 560 ) / 15120

GCD(378, 560) = 211680 / 15120

GCD(378, 560) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 522

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

LCM(14, 522) = 3654

GCD(14, 522) = ( 14 x 522 ) / 3654

GCD(14, 522) = 7308 / 3654

GCD(14, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 378, 560, 522, 829 is 1

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1. What is the GCD of 378, 560, 522, 829?

GCD of 378, 560, 522, 829 is 1

2. Where do I get the detailed procedure to find GCD of 378, 560, 522, 829?

You can find a detailed procedure to find GCD of 378, 560, 522, 829 on our page.

3. How to find GCD of 378, 560, 522, 829 on a calculator?

You can find the GCD of 378, 560, 522, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.