GCD of 63, 501, 186, 249 Calculator

Given Input numbers are 63, 501, 186, 249

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 63, 501, 186, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 501, 186, 249 is 3.

Therefore, GCD of numbers 63, 501, 186, 249 is 3

Given Input Data is 63, 501, 186, 249

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 501 is 3 x 167

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 249 is 3 x 83

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(63, 501) = 10521

GCD(63, 501) = ( 63 x 501 ) / 10521

GCD(63, 501) = 31563 / 10521

GCD(63, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 186

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

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

GCD(3, 186) = 558 / 186

GCD(3, 186) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 249

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

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

GCD(3, 249) = 747 / 249

GCD(3, 249) = 3

GCD of 63, 501, 186, 249 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 844, 986, 232
• GCD of 81, 364, 708, 786
• GCD of 28, 357, 675, 665
• GCD of 19, 870, 891, 761
• GCD of 43, 722, 722, 615

1. What is the GCD of 63, 501, 186, 249?

GCD of 63, 501, 186, 249 is 3

2. Where do I get the detailed procedure to find GCD of 63, 501, 186, 249?

You can find a detailed procedure to find GCD of 63, 501, 186, 249 on our page.

3. How to find GCD of 63, 501, 186, 249 on a calculator?

You can find the GCD of 63, 501, 186, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.