GCD of 636, 749, 14, 219 Calculator

Given Input numbers are 636, 749, 14, 219

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 636, 749, 14, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 749, 14, 219 is 1.

Therefore, GCD of numbers 636, 749, 14, 219 is 1

Given Input Data is 636, 749, 14, 219

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 749 is 7 x 107

Prime Factorization of 14 is 2 x 7

Prime Factorization of 219 is 3 x 73

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, 749) = 476364

GCD(636, 749) = ( 636 x 749 ) / 476364

GCD(636, 749) = 476364 / 476364

GCD(636, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 636, 749, 14, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 469, 73, 116
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• GCD of 937, 332, 36, 221
• GCD of 927, 549, 81, 988

1. What is the GCD of 636, 749, 14, 219?

GCD of 636, 749, 14, 219 is 1

2. Where do I get the detailed procedure to find GCD of 636, 749, 14, 219?

You can find a detailed procedure to find GCD of 636, 749, 14, 219 on our page.

3. How to find GCD of 636, 749, 14, 219 on a calculator?

You can find the GCD of 636, 749, 14, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.