GCD of 708, 714, 23, 272 Calculator

Given Input numbers are 708, 714, 23, 272

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 708, 714, 23, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 714, 23, 272 is 1.

Therefore, GCD of numbers 708, 714, 23, 272 is 1

Given Input Data is 708, 714, 23, 272

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Prime Factorization of 23 is 23

Prime Factorization of 272 is 2 x 2 x 2 x 2 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(708, 714) = 84252

GCD(708, 714) = ( 708 x 714 ) / 84252

GCD(708, 714) = 505512 / 84252

GCD(708, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 23

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

LCM(6, 23) = 138

GCD(6, 23) = ( 6 x 23 ) / 138

GCD(6, 23) = 138 / 138

GCD(6, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 708, 714, 23, 272 is 1

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1. What is the GCD of 708, 714, 23, 272?

GCD of 708, 714, 23, 272 is 1

2. Where do I get the detailed procedure to find GCD of 708, 714, 23, 272?

You can find a detailed procedure to find GCD of 708, 714, 23, 272 on our page.

3. How to find GCD of 708, 714, 23, 272 on a calculator?

You can find the GCD of 708, 714, 23, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.