GCD of 754, 325, 717, 460 Calculator

Given Input numbers are 754, 325, 717, 460

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 754, 325, 717, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 325, 717, 460 is 1.

Therefore, GCD of numbers 754, 325, 717, 460 is 1

Given Input Data is 754, 325, 717, 460

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 717 is 3 x 239

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(754, 325) = 18850

GCD(754, 325) = ( 754 x 325 ) / 18850

GCD(754, 325) = 245050 / 18850

GCD(754, 325) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 717

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

LCM(13, 717) = 9321

GCD(13, 717) = ( 13 x 717 ) / 9321

GCD(13, 717) = 9321 / 9321

GCD(13, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 754, 325, 717, 460 is 1

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1. What is the GCD of 754, 325, 717, 460?

GCD of 754, 325, 717, 460 is 1

2. Where do I get the detailed procedure to find GCD of 754, 325, 717, 460?

You can find a detailed procedure to find GCD of 754, 325, 717, 460 on our page.

3. How to find GCD of 754, 325, 717, 460 on a calculator?

You can find the GCD of 754, 325, 717, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.