GCD of 15, 636, 766, 218 Calculator

Given Input numbers are 15, 636, 766, 218

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 15, 636, 766, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 636, 766, 218 is 1.

Therefore, GCD of numbers 15, 636, 766, 218 is 1

Given Input Data is 15, 636, 766, 218

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

Prime Factorization of 15 is 3 x 5

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 218 is 2 x 109

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(15, 636) = 3180

GCD(15, 636) = ( 15 x 636 ) / 3180

GCD(15, 636) = 9540 / 3180

GCD(15, 636) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 766

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

LCM(3, 766) = 2298

GCD(3, 766) = ( 3 x 766 ) / 2298

GCD(3, 766) = 2298 / 2298

GCD(3, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 15, 636, 766, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 538, 164, 392
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• GCD of 75, 313, 655, 612
• GCD of 20, 591, 928, 828
• GCD of 14, 328, 958, 849

1. What is the GCD of 15, 636, 766, 218?

GCD of 15, 636, 766, 218 is 1

2. Where do I get the detailed procedure to find GCD of 15, 636, 766, 218?

You can find a detailed procedure to find GCD of 15, 636, 766, 218 on our page.

3. How to find GCD of 15, 636, 766, 218 on a calculator?

You can find the GCD of 15, 636, 766, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.