GCD of 200, 332, 750 Calculator

Given Input numbers are 200, 332, 750

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

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 200, 332, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 332, 750 is 2.

Therefore, GCD of numbers 200, 332, 750 is 2

Given Input Data is 200, 332, 750

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

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(200, 332) = 16600

GCD(200, 332) = ( 200 x 332 ) / 16600

GCD(200, 332) = 66400 / 16600

GCD(200, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 750

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

LCM(4, 750) = 1500

GCD(4, 750) = ( 4 x 750 ) / 1500

GCD(4, 750) = 3000 / 1500

GCD(4, 750) = 2

GCD of 200, 332, 750 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 297, 552
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1. What is the GCD of 200, 332, 750?

GCD of 200, 332, 750 is 2

2. Where do I get the detailed procedure to find GCD of 200, 332, 750?

You can find a detailed procedure to find GCD of 200, 332, 750 on our page.

3. How to find GCD of 200, 332, 750 on a calculator?

You can find the GCD of 200, 332, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.