GCD of 780, 750, 201 Calculator

Given Input numbers are 780, 750, 201

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

Divisors of 201

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

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 780, 750, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 750, 201 is 3.

Therefore, GCD of numbers 780, 750, 201 is 3

Given Input Data is 780, 750, 201

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

Prime Factorization of 201 is 3 x 67

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(780, 750) = 19500

GCD(780, 750) = ( 780 x 750 ) / 19500

GCD(780, 750) = 585000 / 19500

GCD(780, 750) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 201

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

LCM(30, 201) = 2010

GCD(30, 201) = ( 30 x 201 ) / 2010

GCD(30, 201) = 6030 / 2010

GCD(30, 201) = 3

GCD of 780, 750, 201 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 999, 508
• GCD of 873, 441, 958
• GCD of 508, 200, 371
• GCD of 276, 784, 712
• GCD of 187, 350, 173

1. What is the GCD of 780, 750, 201?

GCD of 780, 750, 201 is 3

2. Where do I get the detailed procedure to find GCD of 780, 750, 201?

You can find a detailed procedure to find GCD of 780, 750, 201 on our page.

3. How to find GCD of 780, 750, 201 on a calculator?

You can find the GCD of 780, 750, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.