GCD of 201, 711, 738 Calculator

Given Input numbers are 201, 711, 738

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 201, 711, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 711, 738 is 3.

Therefore, GCD of numbers 201, 711, 738 is 3

Given Input Data is 201, 711, 738

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 711) = 47637

GCD(201, 711) = ( 201 x 711 ) / 47637

GCD(201, 711) = 142911 / 47637

GCD(201, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 738

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

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

GCD(3, 738) = 2214 / 738

GCD(3, 738) = 3

GCD of 201, 711, 738 is 3

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1. What is the GCD of 201, 711, 738?

GCD of 201, 711, 738 is 3

2. Where do I get the detailed procedure to find GCD of 201, 711, 738?

You can find a detailed procedure to find GCD of 201, 711, 738 on our page.

3. How to find GCD of 201, 711, 738 on a calculator?

You can find the GCD of 201, 711, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.