GCD of 15, 493, 492, 860 Calculator

Given Input numbers are 15, 493, 492, 860

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 15, 493, 492, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 493, 492, 860 is 1.

Therefore, GCD of numbers 15, 493, 492, 860 is 1

Given Input Data is 15, 493, 492, 860

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 493 is 17 x 29

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 860 is 2 x 2 x 5 x 43

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, 493) = 7395

GCD(15, 493) = ( 15 x 493 ) / 7395

GCD(15, 493) = 7395 / 7395

GCD(15, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 15, 493, 492, 860 is 1

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• GCD of 87, 184, 206, 202
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1. What is the GCD of 15, 493, 492, 860?

GCD of 15, 493, 492, 860 is 1

2. Where do I get the detailed procedure to find GCD of 15, 493, 492, 860?

You can find a detailed procedure to find GCD of 15, 493, 492, 860 on our page.

3. How to find GCD of 15, 493, 492, 860 on a calculator?

You can find the GCD of 15, 493, 492, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.