GCD of 104, 792, 860, 457 Calculator

Given Input numbers are 104, 792, 860, 457

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

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 104, 792, 860, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 792, 860, 457 is 1.

Therefore, GCD of numbers 104, 792, 860, 457 is 1

Given Input Data is 104, 792, 860, 457

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

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 457 is 457

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(104, 792) = 10296

GCD(104, 792) = ( 104 x 792 ) / 10296

GCD(104, 792) = 82368 / 10296

GCD(104, 792) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 860

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

LCM(8, 860) = 1720

GCD(8, 860) = ( 8 x 860 ) / 1720

GCD(8, 860) = 6880 / 1720

GCD(8, 860) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 457

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

LCM(4, 457) = 1828

GCD(4, 457) = ( 4 x 457 ) / 1828

GCD(4, 457) = 1828 / 1828

GCD(4, 457) = 1

GCD of 104, 792, 860, 457 is 1

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1. What is the GCD of 104, 792, 860, 457?

GCD of 104, 792, 860, 457 is 1

2. Where do I get the detailed procedure to find GCD of 104, 792, 860, 457?

You can find a detailed procedure to find GCD of 104, 792, 860, 457 on our page.

3. How to find GCD of 104, 792, 860, 457 on a calculator?

You can find the GCD of 104, 792, 860, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.