GCD of 78, 268, 847, 687 Calculator

Given Input numbers are 78, 268, 847, 687

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 847

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

1, 7, 11, 77, 121, 847

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 78, 268, 847, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 268, 847, 687 is 1.

Therefore, GCD of numbers 78, 268, 847, 687 is 1

Given Input Data is 78, 268, 847, 687

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 687 is 3 x 229

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(78, 268) = 10452

GCD(78, 268) = ( 78 x 268 ) / 10452

GCD(78, 268) = 20904 / 10452

GCD(78, 268) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 78, 268, 847, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 137, 358, 101
• GCD of 31, 763, 680, 538
• GCD of 57, 125, 361, 142
• GCD of 81, 122, 397, 802
• GCD of 81, 956, 513, 476

1. What is the GCD of 78, 268, 847, 687?

GCD of 78, 268, 847, 687 is 1

2. Where do I get the detailed procedure to find GCD of 78, 268, 847, 687?

You can find a detailed procedure to find GCD of 78, 268, 847, 687 on our page.

3. How to find GCD of 78, 268, 847, 687 on a calculator?

You can find the GCD of 78, 268, 847, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.