GCD of 739, 420, 460, 517 Calculator

Given Input numbers are 739, 420, 460, 517

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

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 739, 420, 460, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 420, 460, 517 is 1.

Therefore, GCD of numbers 739, 420, 460, 517 is 1

Given Input Data is 739, 420, 460, 517

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

Prime Factorization of 739 is 739

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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

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(739, 420) = 310380

GCD(739, 420) = ( 739 x 420 ) / 310380

GCD(739, 420) = 310380 / 310380

GCD(739, 420) = 1

Step2:

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

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 739, 420, 460, 517 is 1

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1. What is the GCD of 739, 420, 460, 517?

GCD of 739, 420, 460, 517 is 1

2. Where do I get the detailed procedure to find GCD of 739, 420, 460, 517?

You can find a detailed procedure to find GCD of 739, 420, 460, 517 on our page.

3. How to find GCD of 739, 420, 460, 517 on a calculator?

You can find the GCD of 739, 420, 460, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.