GCD of 474, 876, 44, 532 Calculator

Given Input numbers are 474, 876, 44, 532

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 474, 876, 44, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 876, 44, 532 is 2.

Therefore, GCD of numbers 474, 876, 44, 532 is 2

Given Input Data is 474, 876, 44, 532

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

Prime Factorization of 474 is 2 x 3 x 79

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 532 is 2 x 2 x 7 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(474, 876) = 69204

GCD(474, 876) = ( 474 x 876 ) / 69204

GCD(474, 876) = 415224 / 69204

GCD(474, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 44

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

LCM(6, 44) = 132

GCD(6, 44) = ( 6 x 44 ) / 132

GCD(6, 44) = 264 / 132

GCD(6, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

GCD of 474, 876, 44, 532 is 2

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1. What is the GCD of 474, 876, 44, 532?

GCD of 474, 876, 44, 532 is 2

2. Where do I get the detailed procedure to find GCD of 474, 876, 44, 532?

You can find a detailed procedure to find GCD of 474, 876, 44, 532 on our page.

3. How to find GCD of 474, 876, 44, 532 on a calculator?

You can find the GCD of 474, 876, 44, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.