GCD of 506, 761, 713, 427 Calculator

Given Input numbers are 506, 761, 713, 427

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 506, 761, 713, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 761, 713, 427 is 1.

Therefore, GCD of numbers 506, 761, 713, 427 is 1

Given Input Data is 506, 761, 713, 427

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 761 is 761

Prime Factorization of 713 is 23 x 31

Prime Factorization of 427 is 7 x 61

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(506, 761) = 385066

GCD(506, 761) = ( 506 x 761 ) / 385066

GCD(506, 761) = 385066 / 385066

GCD(506, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 506, 761, 713, 427 is 1

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1. What is the GCD of 506, 761, 713, 427?

GCD of 506, 761, 713, 427 is 1

2. Where do I get the detailed procedure to find GCD of 506, 761, 713, 427?

You can find a detailed procedure to find GCD of 506, 761, 713, 427 on our page.

3. How to find GCD of 506, 761, 713, 427 on a calculator?

You can find the GCD of 506, 761, 713, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.