GCD of 636, 738, 18, 871 Calculator

Given Input numbers are 636, 738, 18, 871

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 636, 738, 18, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 738, 18, 871 is 1.

Therefore, GCD of numbers 636, 738, 18, 871 is 1

Given Input Data is 636, 738, 18, 871

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 871 is 13 x 67

The above numbers do not have any common prime factor. So GCD is 1

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(636, 738) = 78228

GCD(636, 738) = ( 636 x 738 ) / 78228

GCD(636, 738) = 469368 / 78228

GCD(636, 738) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 18

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

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

GCD(6, 18) = 108 / 18

GCD(6, 18) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 871

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

LCM(6, 871) = 5226

GCD(6, 871) = ( 6 x 871 ) / 5226

GCD(6, 871) = 5226 / 5226

GCD(6, 871) = 1

GCD of 636, 738, 18, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 117, 76, 501
• GCD of 639, 673, 47, 613
• GCD of 149, 640, 80, 483
• GCD of 838, 892, 23, 487
• GCD of 335, 972, 34, 958

1. What is the GCD of 636, 738, 18, 871?

GCD of 636, 738, 18, 871 is 1

2. Where do I get the detailed procedure to find GCD of 636, 738, 18, 871?

You can find a detailed procedure to find GCD of 636, 738, 18, 871 on our page.

3. How to find GCD of 636, 738, 18, 871 on a calculator?

You can find the GCD of 636, 738, 18, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.