GCD of 532, 112, 900 Calculator

Given Input numbers are 532, 112, 900

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

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

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 532, 112, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 112, 900 is 4.

Therefore, GCD of numbers 532, 112, 900 is 4

Given Input Data is 532, 112, 900

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

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

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(532, 112) = 2128

GCD(532, 112) = ( 532 x 112 ) / 2128

GCD(532, 112) = 59584 / 2128

GCD(532, 112) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 900

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

LCM(28, 900) = 6300

GCD(28, 900) = ( 28 x 900 ) / 6300

GCD(28, 900) = 25200 / 6300

GCD(28, 900) = 4

GCD of 532, 112, 900 is 4

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1. What is the GCD of 532, 112, 900?

GCD of 532, 112, 900 is 4

2. Where do I get the detailed procedure to find GCD of 532, 112, 900?

You can find a detailed procedure to find GCD of 532, 112, 900 on our page.

3. How to find GCD of 532, 112, 900 on a calculator?

You can find the GCD of 532, 112, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.