GCD of 780, 908, 835, 915 Calculator

Given Input numbers are 780, 908, 835, 915

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

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 780, 908, 835, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 908, 835, 915 is 1.

Therefore, GCD of numbers 780, 908, 835, 915 is 1

Given Input Data is 780, 908, 835, 915

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 835 is 5 x 167

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(780, 908) = 177060

GCD(780, 908) = ( 780 x 908 ) / 177060

GCD(780, 908) = 708240 / 177060

GCD(780, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 835

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

LCM(4, 835) = 3340

GCD(4, 835) = ( 4 x 835 ) / 3340

GCD(4, 835) = 3340 / 3340

GCD(4, 835) = 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 780, 908, 835, 915 is 1

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1. What is the GCD of 780, 908, 835, 915?

GCD of 780, 908, 835, 915 is 1

2. Where do I get the detailed procedure to find GCD of 780, 908, 835, 915?

You can find a detailed procedure to find GCD of 780, 908, 835, 915 on our page.

3. How to find GCD of 780, 908, 835, 915 on a calculator?

You can find the GCD of 780, 908, 835, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.