GCD of 78, 636, 676, 547 Calculator

Given Input numbers are 78, 636, 676, 547

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 78, 636, 676, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 636, 676, 547 is 1.

Therefore, GCD of numbers 78, 636, 676, 547 is 1

Given Input Data is 78, 636, 676, 547

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 547 is 547

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, 636) = 8268

GCD(78, 636) = ( 78 x 636 ) / 8268

GCD(78, 636) = 49608 / 8268

GCD(78, 636) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 676

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

LCM(6, 676) = 2028

GCD(6, 676) = ( 6 x 676 ) / 2028

GCD(6, 676) = 4056 / 2028

GCD(6, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

GCD of 78, 636, 676, 547 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 847, 390, 535
• GCD of 56, 427, 585, 146
• GCD of 71, 489, 354, 212
• GCD of 70, 582, 326, 547
• GCD of 61, 504, 808, 433

1. What is the GCD of 78, 636, 676, 547?

GCD of 78, 636, 676, 547 is 1

2. Where do I get the detailed procedure to find GCD of 78, 636, 676, 547?

You can find a detailed procedure to find GCD of 78, 636, 676, 547 on our page.

3. How to find GCD of 78, 636, 676, 547 on a calculator?

You can find the GCD of 78, 636, 676, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.