GCD of 299, 454, 988, 915 Calculator

Given Input numbers are 299, 454, 988, 915

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 454

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

1, 2, 227, 454

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 915

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

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

Greatest Common Divisior

We found the divisors of 299, 454, 988, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 454, 988, 915 is 1.

Therefore, GCD of numbers 299, 454, 988, 915 is 1

Given Input Data is 299, 454, 988, 915

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 454 is 2 x 227

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 915 is 3 x 5 x 61

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(299, 454) = 135746

GCD(299, 454) = ( 299 x 454 ) / 135746

GCD(299, 454) = 135746 / 135746

GCD(299, 454) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 299, 454, 988, 915 is 1

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1. What is the GCD of 299, 454, 988, 915?

GCD of 299, 454, 988, 915 is 1

2. Where do I get the detailed procedure to find GCD of 299, 454, 988, 915?

You can find a detailed procedure to find GCD of 299, 454, 988, 915 on our page.

3. How to find GCD of 299, 454, 988, 915 on a calculator?

You can find the GCD of 299, 454, 988, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.