GCD of 580, 112, 36, 876 Calculator

Given Input numbers are 580, 112, 36, 876

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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

Greatest Common Divisior

We found the divisors of 580, 112, 36, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 112, 36, 876 is 4.

Therefore, GCD of numbers 580, 112, 36, 876 is 4

Given Input Data is 580, 112, 36, 876

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(580, 112) = 16240

GCD(580, 112) = ( 580 x 112 ) / 16240

GCD(580, 112) = 64960 / 16240

GCD(580, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 876

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

LCM(4, 876) = 876

GCD(4, 876) = ( 4 x 876 ) / 876

GCD(4, 876) = 3504 / 876

GCD(4, 876) = 4

GCD of 580, 112, 36, 876 is 4

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1. What is the GCD of 580, 112, 36, 876?

GCD of 580, 112, 36, 876 is 4

2. Where do I get the detailed procedure to find GCD of 580, 112, 36, 876?

You can find a detailed procedure to find GCD of 580, 112, 36, 876 on our page.

3. How to find GCD of 580, 112, 36, 876 on a calculator?

You can find the GCD of 580, 112, 36, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.