GCD of 813, 501, 102, 186 Calculator

Given Input numbers are 813, 501, 102, 186

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 501

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

1, 3, 167, 501

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 186

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

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

Greatest Common Divisior

We found the divisors of 813, 501, 102, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 501, 102, 186 is 3.

Therefore, GCD of numbers 813, 501, 102, 186 is 3

Given Input Data is 813, 501, 102, 186

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 501 is 3 x 167

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 186 is 2 x 3 x 31

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(813, 501) = 135771

GCD(813, 501) = ( 813 x 501 ) / 135771

GCD(813, 501) = 407313 / 135771

GCD(813, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 102

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

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

GCD(3, 102) = 306 / 102

GCD(3, 102) = 3

Step3:

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

GCD of 813, 501, 102, 186 is 3

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• GCD of 351, 712, 632, 589
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1. What is the GCD of 813, 501, 102, 186?

GCD of 813, 501, 102, 186 is 3

2. Where do I get the detailed procedure to find GCD of 813, 501, 102, 186?

You can find a detailed procedure to find GCD of 813, 501, 102, 186 on our page.

3. How to find GCD of 813, 501, 102, 186 on a calculator?

You can find the GCD of 813, 501, 102, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.