GCD of 714, 953, 31, 517 Calculator

Given Input numbers are 714, 953, 31, 517

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 714, 953, 31, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 953, 31, 517 is 1.

Therefore, GCD of numbers 714, 953, 31, 517 is 1

Given Input Data is 714, 953, 31, 517

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 953 is 953

Prime Factorization of 31 is 31

Prime Factorization of 517 is 11 x 47

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, 953) = 680442

GCD(714, 953) = ( 714 x 953 ) / 680442

GCD(714, 953) = 680442 / 680442

GCD(714, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 714, 953, 31, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 902, 69, 208
• GCD of 532, 497, 68, 444
• GCD of 189, 114, 70, 113
• GCD of 282, 362, 50, 994
• GCD of 137, 447, 13, 422

1. What is the GCD of 714, 953, 31, 517?

GCD of 714, 953, 31, 517 is 1

2. Where do I get the detailed procedure to find GCD of 714, 953, 31, 517?

You can find a detailed procedure to find GCD of 714, 953, 31, 517 on our page.

3. How to find GCD of 714, 953, 31, 517 on a calculator?

You can find the GCD of 714, 953, 31, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.