GCD of 104, 832, 19, 302 Calculator

Given Input numbers are 104, 832, 19, 302

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 104, 832, 19, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 832, 19, 302 is 1.

Therefore, GCD of numbers 104, 832, 19, 302 is 1

Given Input Data is 104, 832, 19, 302

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 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 19 is 19

Prime Factorization of 302 is 2 x 151

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, 832) = 832

GCD(104, 832) = ( 104 x 832 ) / 832

GCD(104, 832) = 86528 / 832

GCD(104, 832) = 104

Step2:

Here we consider the GCD from the above i.e. 104 as first number and the next as 19

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

LCM(104, 19) = 1976

GCD(104, 19) = ( 104 x 19 ) / 1976

GCD(104, 19) = 1976 / 1976

GCD(104, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 104, 832, 19, 302 is 1

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1. What is the GCD of 104, 832, 19, 302?

GCD of 104, 832, 19, 302 is 1

2. Where do I get the detailed procedure to find GCD of 104, 832, 19, 302?

You can find a detailed procedure to find GCD of 104, 832, 19, 302 on our page.

3. How to find GCD of 104, 832, 19, 302 on a calculator?

You can find the GCD of 104, 832, 19, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.