GCD of 186, 291, 18, 501 Calculator

Given Input numbers are 186, 291, 18, 501

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

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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 501

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

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 186, 291, 18, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 291, 18, 501 is 3.

Therefore, GCD of numbers 186, 291, 18, 501 is 3

Given Input Data is 186, 291, 18, 501

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 291 is 3 x 97

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 501 is 3 x 167

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(186, 291) = 18042

GCD(186, 291) = ( 186 x 291 ) / 18042

GCD(186, 291) = 54126 / 18042

GCD(186, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

GCD of 186, 291, 18, 501 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 276, 72, 145
• GCD of 105, 791, 36, 331
• GCD of 497, 563, 94, 949
• GCD of 430, 321, 83, 303
• GCD of 463, 754, 93, 599

1. What is the GCD of 186, 291, 18, 501?

GCD of 186, 291, 18, 501 is 3

2. Where do I get the detailed procedure to find GCD of 186, 291, 18, 501?

You can find a detailed procedure to find GCD of 186, 291, 18, 501 on our page.

3. How to find GCD of 186, 291, 18, 501 on a calculator?

You can find the GCD of 186, 291, 18, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.