GCD of 915, 460, 88, 492 Calculator

Given Input numbers are 915, 460, 88, 492

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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

Greatest Common Divisior

We found the divisors of 915, 460, 88, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 460, 88, 492 is 1.

Therefore, GCD of numbers 915, 460, 88, 492 is 1

Given Input Data is 915, 460, 88, 492

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

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(915, 460) = 84180

GCD(915, 460) = ( 915 x 460 ) / 84180

GCD(915, 460) = 420900 / 84180

GCD(915, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 88

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

LCM(5, 88) = 440

GCD(5, 88) = ( 5 x 88 ) / 440

GCD(5, 88) = 440 / 440

GCD(5, 88) = 1

Step3:

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

GCD of 915, 460, 88, 492 is 1

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1. What is the GCD of 915, 460, 88, 492?

GCD of 915, 460, 88, 492 is 1

2. Where do I get the detailed procedure to find GCD of 915, 460, 88, 492?

You can find a detailed procedure to find GCD of 915, 460, 88, 492 on our page.

3. How to find GCD of 915, 460, 88, 492 on a calculator?

You can find the GCD of 915, 460, 88, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.