GCD of 502, 407, 741, 716 Calculator

Given Input numbers are 502, 407, 741, 716

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 502, 407, 741, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 407, 741, 716 is 1.

Therefore, GCD of numbers 502, 407, 741, 716 is 1

Given Input Data is 502, 407, 741, 716

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 407 is 11 x 37

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 716 is 2 x 2 x 179

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(502, 407) = 204314

GCD(502, 407) = ( 502 x 407 ) / 204314

GCD(502, 407) = 204314 / 204314

GCD(502, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 502, 407, 741, 716 is 1

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1. What is the GCD of 502, 407, 741, 716?

GCD of 502, 407, 741, 716 is 1

2. Where do I get the detailed procedure to find GCD of 502, 407, 741, 716?

You can find a detailed procedure to find GCD of 502, 407, 741, 716 on our page.

3. How to find GCD of 502, 407, 741, 716 on a calculator?

You can find the GCD of 502, 407, 741, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.