GCD of 475, 200, 750 Calculator

Given Input numbers are 475, 200, 750

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

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 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 475, 200, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 200, 750 is 25.

Therefore, GCD of numbers 475, 200, 750 is 25

Given Input Data is 475, 200, 750

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

Prime Factorization of 475 is 5 x 5 x 19

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

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

Highest common occurrences in the given inputs are 5²

Multiplying them we get the GCD as 25

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(475, 200) = 3800

GCD(475, 200) = ( 475 x 200 ) / 3800

GCD(475, 200) = 95000 / 3800

GCD(475, 200) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 750

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

LCM(25, 750) = 750

GCD(25, 750) = ( 25 x 750 ) / 750

GCD(25, 750) = 18750 / 750

GCD(25, 750) = 25

GCD of 475, 200, 750 is 25

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 389, 541
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• GCD of 102, 256, 786
• GCD of 352, 808, 165

1. What is the GCD of 475, 200, 750?

GCD of 475, 200, 750 is 25

2. Where do I get the detailed procedure to find GCD of 475, 200, 750?

You can find a detailed procedure to find GCD of 475, 200, 750 on our page.

3. How to find GCD of 475, 200, 750 on a calculator?

You can find the GCD of 475, 200, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.