GCD of 714, 366, 37, 793 Calculator

Given Input numbers are 714, 366, 37, 793

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 714, 366, 37, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 366, 37, 793 is 1.

Therefore, GCD of numbers 714, 366, 37, 793 is 1

Given Input Data is 714, 366, 37, 793

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 37 is 37

Prime Factorization of 793 is 13 x 61

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(714, 366) = 43554

GCD(714, 366) = ( 714 x 366 ) / 43554

GCD(714, 366) = 261324 / 43554

GCD(714, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 37

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

LCM(6, 37) = 222

GCD(6, 37) = ( 6 x 37 ) / 222

GCD(6, 37) = 222 / 222

GCD(6, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 714, 366, 37, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 845, 62, 837
• GCD of 377, 919, 35, 278
• GCD of 183, 671, 94, 752
• GCD of 380, 345, 73, 978
• GCD of 253, 473, 26, 651

1. What is the GCD of 714, 366, 37, 793?

GCD of 714, 366, 37, 793 is 1

2. Where do I get the detailed procedure to find GCD of 714, 366, 37, 793?

You can find a detailed procedure to find GCD of 714, 366, 37, 793 on our page.

3. How to find GCD of 714, 366, 37, 793 on a calculator?

You can find the GCD of 714, 366, 37, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.