GCD of 915, 312, 60, 454 Calculator

Given Input numbers are 915, 312, 60, 454

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 915, 312, 60, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 312, 60, 454 is 1.

Therefore, GCD of numbers 915, 312, 60, 454 is 1

Given Input Data is 915, 312, 60, 454

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 454 is 2 x 227

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, 312) = 95160

GCD(915, 312) = ( 915 x 312 ) / 95160

GCD(915, 312) = 285480 / 95160

GCD(915, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 454

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

LCM(3, 454) = 1362

GCD(3, 454) = ( 3 x 454 ) / 1362

GCD(3, 454) = 1362 / 1362

GCD(3, 454) = 1

GCD of 915, 312, 60, 454 is 1

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• GCD of 484, 929, 18, 743
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• GCD of 498, 894, 97, 951

1. What is the GCD of 915, 312, 60, 454?

GCD of 915, 312, 60, 454 is 1

2. Where do I get the detailed procedure to find GCD of 915, 312, 60, 454?

You can find a detailed procedure to find GCD of 915, 312, 60, 454 on our page.

3. How to find GCD of 915, 312, 60, 454 on a calculator?

You can find the GCD of 915, 312, 60, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.