GCD of 107, 585, 43, 714 Calculator

Given Input numbers are 107, 585, 43, 714

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

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

Greatest Common Divisior

We found the divisors of 107, 585, 43, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 585, 43, 714 is 1.

Therefore, GCD of numbers 107, 585, 43, 714 is 1

Given Input Data is 107, 585, 43, 714

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

Prime Factorization of 107 is 107

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 43 is 43

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

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(107, 585) = 62595

GCD(107, 585) = ( 107 x 585 ) / 62595

GCD(107, 585) = 62595 / 62595

GCD(107, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 107, 585, 43, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 776, 23, 894
• GCD of 301, 993, 86, 463
• GCD of 956, 572, 29, 534
• GCD of 224, 815, 43, 518
• GCD of 747, 499, 92, 434

1. What is the GCD of 107, 585, 43, 714?

GCD of 107, 585, 43, 714 is 1

2. Where do I get the detailed procedure to find GCD of 107, 585, 43, 714?

You can find a detailed procedure to find GCD of 107, 585, 43, 714 on our page.

3. How to find GCD of 107, 585, 43, 714 on a calculator?

You can find the GCD of 107, 585, 43, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.