GCD of 900, 200, 296, 652 Calculator

Given Input numbers are 900, 200, 296, 652

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

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 900, 200, 296, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 200, 296, 652 is 4.

Therefore, GCD of numbers 900, 200, 296, 652 is 4

Given Input Data is 900, 200, 296, 652

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 652 is 2 x 2 x 163

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(900, 200) = 1800

GCD(900, 200) = ( 900 x 200 ) / 1800

GCD(900, 200) = 180000 / 1800

GCD(900, 200) = 100

Step2:

Here we consider the GCD from the above i.e. 100 as first number and the next as 296

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

LCM(100, 296) = 7400

GCD(100, 296) = ( 100 x 296 ) / 7400

GCD(100, 296) = 29600 / 7400

GCD(100, 296) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 652

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

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

GCD(4, 652) = 2608 / 652

GCD(4, 652) = 4

GCD of 900, 200, 296, 652 is 4

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1. What is the GCD of 900, 200, 296, 652?

GCD of 900, 200, 296, 652 is 4

2. Where do I get the detailed procedure to find GCD of 900, 200, 296, 652?

You can find a detailed procedure to find GCD of 900, 200, 296, 652 on our page.

3. How to find GCD of 900, 200, 296, 652 on a calculator?

You can find the GCD of 900, 200, 296, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.