GCD of 876, 476, 116, 623 Calculator

Given Input numbers are 876, 476, 116, 623

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 876, 476, 116, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 476, 116, 623 is 1.

Therefore, GCD of numbers 876, 476, 116, 623 is 1

Given Input Data is 876, 476, 116, 623

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 476 is 2 x 2 x 7 x 17

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 623 is 7 x 89

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, 476) = 104244

GCD(876, 476) = ( 876 x 476 ) / 104244

GCD(876, 476) = 416976 / 104244

GCD(876, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 116

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

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

GCD(4, 116) = 464 / 116

GCD(4, 116) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 623

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

LCM(4, 623) = 2492

GCD(4, 623) = ( 4 x 623 ) / 2492

GCD(4, 623) = 2492 / 2492

GCD(4, 623) = 1

GCD of 876, 476, 116, 623 is 1

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1. What is the GCD of 876, 476, 116, 623?

GCD of 876, 476, 116, 623 is 1

2. Where do I get the detailed procedure to find GCD of 876, 476, 116, 623?

You can find a detailed procedure to find GCD of 876, 476, 116, 623 on our page.

3. How to find GCD of 876, 476, 116, 623 on a calculator?

You can find the GCD of 876, 476, 116, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.