GCD of 714, 715, 457 Calculator

Given Input numbers are 714, 715, 457

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 714, 715, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 715, 457 is 1.

Therefore, GCD of numbers 714, 715, 457 is 1

Given Input Data is 714, 715, 457

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 715 is 5 x 11 x 13

Prime Factorization of 457 is 457

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, 715) = 510510

GCD(714, 715) = ( 714 x 715 ) / 510510

GCD(714, 715) = 510510 / 510510

GCD(714, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 714, 715, 457 is 1

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1. What is the GCD of 714, 715, 457?

GCD of 714, 715, 457 is 1

2. Where do I get the detailed procedure to find GCD of 714, 715, 457?

You can find a detailed procedure to find GCD of 714, 715, 457 on our page.

3. How to find GCD of 714, 715, 457 on a calculator?

You can find the GCD of 714, 715, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.