GCD of 876, 506, 814, 629 Calculator

Given Input numbers are 876, 506, 814, 629

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 876, 506, 814, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 506, 814, 629 is 1.

Therefore, GCD of numbers 876, 506, 814, 629 is 1

Given Input Data is 876, 506, 814, 629

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 629 is 17 x 37

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(876, 506) = 221628

GCD(876, 506) = ( 876 x 506 ) / 221628

GCD(876, 506) = 443256 / 221628

GCD(876, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 876, 506, 814, 629 is 1

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1. What is the GCD of 876, 506, 814, 629?

GCD of 876, 506, 814, 629 is 1

2. Where do I get the detailed procedure to find GCD of 876, 506, 814, 629?

You can find a detailed procedure to find GCD of 876, 506, 814, 629 on our page.

3. How to find GCD of 876, 506, 814, 629 on a calculator?

You can find the GCD of 876, 506, 814, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.