GCD of 78, 493, 694, 274 Calculator

Given Input numbers are 78, 493, 694, 274

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 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 78, 493, 694, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 493, 694, 274 is 1.

Therefore, GCD of numbers 78, 493, 694, 274 is 1

Given Input Data is 78, 493, 694, 274

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 493 is 17 x 29

Prime Factorization of 694 is 2 x 347

Prime Factorization of 274 is 2 x 137

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, 493) = 38454

GCD(78, 493) = ( 78 x 493 ) / 38454

GCD(78, 493) = 38454 / 38454

GCD(78, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 78, 493, 694, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 528, 210, 709
• GCD of 34, 724, 301, 946
• GCD of 39, 487, 728, 198
• GCD of 43, 933, 326, 271
• GCD of 76, 581, 167, 947

1. What is the GCD of 78, 493, 694, 274?

GCD of 78, 493, 694, 274 is 1

2. Where do I get the detailed procedure to find GCD of 78, 493, 694, 274?

You can find a detailed procedure to find GCD of 78, 493, 694, 274 on our page.

3. How to find GCD of 78, 493, 694, 274 on a calculator?

You can find the GCD of 78, 493, 694, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.