GCD of 915, 119, 398, 782 Calculator

Given Input numbers are 915, 119, 398, 782

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 915, 119, 398, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 119, 398, 782 is 1.

Therefore, GCD of numbers 915, 119, 398, 782 is 1

Given Input Data is 915, 119, 398, 782

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 119 is 7 x 17

Prime Factorization of 398 is 2 x 199

Prime Factorization of 782 is 2 x 17 x 23

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, 119) = 108885

GCD(915, 119) = ( 915 x 119 ) / 108885

GCD(915, 119) = 108885 / 108885

GCD(915, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 915, 119, 398, 782 is 1

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• GCD of 318, 906, 401, 729
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• GCD of 911, 131, 528, 489

1. What is the GCD of 915, 119, 398, 782?

GCD of 915, 119, 398, 782 is 1

2. Where do I get the detailed procedure to find GCD of 915, 119, 398, 782?

You can find a detailed procedure to find GCD of 915, 119, 398, 782 on our page.

3. How to find GCD of 915, 119, 398, 782 on a calculator?

You can find the GCD of 915, 119, 398, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.