GCD of 78, 699, 472, 737 Calculator

Given Input numbers are 78, 699, 472, 737

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 78, 699, 472, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 699, 472, 737 is 1.

Therefore, GCD of numbers 78, 699, 472, 737 is 1

Given Input Data is 78, 699, 472, 737

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 699 is 3 x 233

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 737 is 11 x 67

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, 699) = 18174

GCD(78, 699) = ( 78 x 699 ) / 18174

GCD(78, 699) = 54522 / 18174

GCD(78, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 472

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

LCM(3, 472) = 1416

GCD(3, 472) = ( 3 x 472 ) / 1416

GCD(3, 472) = 1416 / 1416

GCD(3, 472) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 78, 699, 472, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 360, 832, 458
• GCD of 72, 922, 364, 235
• GCD of 65, 899, 315, 789
• GCD of 67, 439, 407, 493
• GCD of 53, 377, 548, 473

1. What is the GCD of 78, 699, 472, 737?

GCD of 78, 699, 472, 737 is 1

2. Where do I get the detailed procedure to find GCD of 78, 699, 472, 737?

You can find a detailed procedure to find GCD of 78, 699, 472, 737 on our page.

3. How to find GCD of 78, 699, 472, 737 on a calculator?

You can find the GCD of 78, 699, 472, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.