GCD of 915, 423, 720, 199 Calculator

Given Input numbers are 915, 423, 720, 199

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 915, 423, 720, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 423, 720, 199 is 1.

Therefore, GCD of numbers 915, 423, 720, 199 is 1

Given Input Data is 915, 423, 720, 199

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 423 is 3 x 3 x 47

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 199 is 199

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, 423) = 129015

GCD(915, 423) = ( 915 x 423 ) / 129015

GCD(915, 423) = 387045 / 129015

GCD(915, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 720

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

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

GCD(3, 720) = 2160 / 720

GCD(3, 720) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 1

GCD of 915, 423, 720, 199 is 1

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1. What is the GCD of 915, 423, 720, 199?

GCD of 915, 423, 720, 199 is 1

2. Where do I get the detailed procedure to find GCD of 915, 423, 720, 199?

You can find a detailed procedure to find GCD of 915, 423, 720, 199 on our page.

3. How to find GCD of 915, 423, 720, 199 on a calculator?

You can find the GCD of 915, 423, 720, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.