GCD of 201, 387, 750 Calculator

Given Input numbers are 201, 387, 750

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 201, 387, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 387, 750 is 3.

Therefore, GCD of numbers 201, 387, 750 is 3

Given Input Data is 201, 387, 750

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 387 is 3 x 3 x 43

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(201, 387) = 25929

GCD(201, 387) = ( 201 x 387 ) / 25929

GCD(201, 387) = 77787 / 25929

GCD(201, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

GCD of 201, 387, 750 is 3

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1. What is the GCD of 201, 387, 750?

GCD of 201, 387, 750 is 3

2. Where do I get the detailed procedure to find GCD of 201, 387, 750?

You can find a detailed procedure to find GCD of 201, 387, 750 on our page.

3. How to find GCD of 201, 387, 750 on a calculator?

You can find the GCD of 201, 387, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.