GCD of 919, 104, 71, 782 Calculator

Given Input numbers are 919, 104, 71, 782

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 919, 104, 71, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 104, 71, 782 is 1.

Therefore, GCD of numbers 919, 104, 71, 782 is 1

Given Input Data is 919, 104, 71, 782

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

Prime Factorization of 919 is 919

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 71 is 71

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(919, 104) = 95576

GCD(919, 104) = ( 919 x 104 ) / 95576

GCD(919, 104) = 95576 / 95576

GCD(919, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 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 919, 104, 71, 782 is 1

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1. What is the GCD of 919, 104, 71, 782?

GCD of 919, 104, 71, 782 is 1

2. Where do I get the detailed procedure to find GCD of 919, 104, 71, 782?

You can find a detailed procedure to find GCD of 919, 104, 71, 782 on our page.

3. How to find GCD of 919, 104, 71, 782 on a calculator?

You can find the GCD of 919, 104, 71, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.