GCD of 423, 758, 13, 762 Calculator

Given Input numbers are 423, 758, 13, 762

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 423, 758, 13, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 758, 13, 762 is 1.

Therefore, GCD of numbers 423, 758, 13, 762 is 1

Given Input Data is 423, 758, 13, 762

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 758 is 2 x 379

Prime Factorization of 13 is 13

Prime Factorization of 762 is 2 x 3 x 127

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(423, 758) = 320634

GCD(423, 758) = ( 423 x 758 ) / 320634

GCD(423, 758) = 320634 / 320634

GCD(423, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 423, 758, 13, 762 is 1

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1. What is the GCD of 423, 758, 13, 762?

GCD of 423, 758, 13, 762 is 1

2. Where do I get the detailed procedure to find GCD of 423, 758, 13, 762?

You can find a detailed procedure to find GCD of 423, 758, 13, 762 on our page.

3. How to find GCD of 423, 758, 13, 762 on a calculator?

You can find the GCD of 423, 758, 13, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.