GCD of 458, 718, 586, 765 Calculator

Given Input numbers are 458, 718, 586, 765

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 458, 718, 586, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 718, 586, 765 is 1.

Therefore, GCD of numbers 458, 718, 586, 765 is 1

Given Input Data is 458, 718, 586, 765

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 718 is 2 x 359

Prime Factorization of 586 is 2 x 293

Prime Factorization of 765 is 3 x 3 x 5 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(458, 718) = 164422

GCD(458, 718) = ( 458 x 718 ) / 164422

GCD(458, 718) = 328844 / 164422

GCD(458, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 586

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

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

GCD(2, 586) = 1172 / 586

GCD(2, 586) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 458, 718, 586, 765 is 1

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1. What is the GCD of 458, 718, 586, 765?

GCD of 458, 718, 586, 765 is 1

2. Where do I get the detailed procedure to find GCD of 458, 718, 586, 765?

You can find a detailed procedure to find GCD of 458, 718, 586, 765 on our page.

3. How to find GCD of 458, 718, 586, 765 on a calculator?

You can find the GCD of 458, 718, 586, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.