GCD of 532, 920, 96, 900 Calculator

Given Input numbers are 532, 920, 96, 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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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, 920, 96, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 920, 96, 900 is 4.

Therefore, GCD of numbers 532, 920, 96, 900 is 4

Given Input Data is 532, 920, 96, 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 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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, 920) = 122360

GCD(532, 920) = ( 532 x 920 ) / 122360

GCD(532, 920) = 489440 / 122360

GCD(532, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 900

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

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

GCD(4, 900) = 3600 / 900

GCD(4, 900) = 4

GCD of 532, 920, 96, 900 is 4

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• GCD of 588, 784, 99, 345
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1. What is the GCD of 532, 920, 96, 900?

GCD of 532, 920, 96, 900 is 4

2. Where do I get the detailed procedure to find GCD of 532, 920, 96, 900?

You can find a detailed procedure to find GCD of 532, 920, 96, 900 on our page.

3. How to find GCD of 532, 920, 96, 900 on a calculator?

You can find the GCD of 532, 920, 96, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.