GCD of 78, 753, 791, 334 Calculator

Given Input numbers are 78, 753, 791, 334

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 78, 753, 791, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 753, 791, 334 is 1.

Therefore, GCD of numbers 78, 753, 791, 334 is 1

Given Input Data is 78, 753, 791, 334

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 753 is 3 x 251

Prime Factorization of 791 is 7 x 113

Prime Factorization of 334 is 2 x 167

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, 753) = 19578

GCD(78, 753) = ( 78 x 753 ) / 19578

GCD(78, 753) = 58734 / 19578

GCD(78, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 791

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

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

GCD(3, 791) = 2373 / 2373

GCD(3, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 78, 753, 791, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 285, 891, 315
• GCD of 88, 423, 728, 754
• GCD of 92, 115, 521, 949
• GCD of 82, 523, 174, 184
• GCD of 62, 949, 447, 705

1. What is the GCD of 78, 753, 791, 334?

GCD of 78, 753, 791, 334 is 1

2. Where do I get the detailed procedure to find GCD of 78, 753, 791, 334?

You can find a detailed procedure to find GCD of 78, 753, 791, 334 on our page.

3. How to find GCD of 78, 753, 791, 334 on a calculator?

You can find the GCD of 78, 753, 791, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.