GCD of 104, 766, 42, 847 Calculator

Given Input numbers are 104, 766, 42, 847

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 104, 766, 42, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 766, 42, 847 is 1.

Therefore, GCD of numbers 104, 766, 42, 847 is 1

Given Input Data is 104, 766, 42, 847

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 766 is 2 x 383

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 847 is 7 x 11 x 11

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, 766) = 39832

GCD(104, 766) = ( 104 x 766 ) / 39832

GCD(104, 766) = 79664 / 39832

GCD(104, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 847

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

LCM(2, 847) = 1694

GCD(2, 847) = ( 2 x 847 ) / 1694

GCD(2, 847) = 1694 / 1694

GCD(2, 847) = 1

GCD of 104, 766, 42, 847 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 691, 91, 198
• GCD of 316, 835, 59, 424
• GCD of 225, 145, 61, 714
• GCD of 558, 330, 71, 783
• GCD of 545, 275, 68, 536

1. What is the GCD of 104, 766, 42, 847?

GCD of 104, 766, 42, 847 is 1

2. Where do I get the detailed procedure to find GCD of 104, 766, 42, 847?

You can find a detailed procedure to find GCD of 104, 766, 42, 847 on our page.

3. How to find GCD of 104, 766, 42, 847 on a calculator?

You can find the GCD of 104, 766, 42, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.