GCD of 78, 844, 743, 213 Calculator

Given Input numbers are 78, 844, 743, 213

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 78, 844, 743, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 844, 743, 213 is 1.

Therefore, GCD of numbers 78, 844, 743, 213 is 1

Given Input Data is 78, 844, 743, 213

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 844 is 2 x 2 x 211

Prime Factorization of 743 is 743

Prime Factorization of 213 is 3 x 71

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, 844) = 32916

GCD(78, 844) = ( 78 x 844 ) / 32916

GCD(78, 844) = 65832 / 32916

GCD(78, 844) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 78, 844, 743, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 370, 256, 923
• GCD of 62, 489, 330, 753
• GCD of 26, 593, 703, 755
• GCD of 39, 969, 359, 206
• GCD of 42, 627, 605, 778

1. What is the GCD of 78, 844, 743, 213?

GCD of 78, 844, 743, 213 is 1

2. Where do I get the detailed procedure to find GCD of 78, 844, 743, 213?

You can find a detailed procedure to find GCD of 78, 844, 743, 213 on our page.

3. How to find GCD of 78, 844, 743, 213 on a calculator?

You can find the GCD of 78, 844, 743, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.