GCD of 423, 528, 579, 718 Calculator

Given Input numbers are 423, 528, 579, 718

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 423, 528, 579, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 528, 579, 718 is 1.

Therefore, GCD of numbers 423, 528, 579, 718 is 1

Given Input Data is 423, 528, 579, 718

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 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 579 is 3 x 193

Prime Factorization of 718 is 2 x 359

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, 528) = 74448

GCD(423, 528) = ( 423 x 528 ) / 74448

GCD(423, 528) = 223344 / 74448

GCD(423, 528) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 579

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

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

GCD(3, 579) = 1737 / 579

GCD(3, 579) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 718

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

LCM(3, 718) = 2154

GCD(3, 718) = ( 3 x 718 ) / 2154

GCD(3, 718) = 2154 / 2154

GCD(3, 718) = 1

GCD of 423, 528, 579, 718 is 1

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1. What is the GCD of 423, 528, 579, 718?

GCD of 423, 528, 579, 718 is 1

2. Where do I get the detailed procedure to find GCD of 423, 528, 579, 718?

You can find a detailed procedure to find GCD of 423, 528, 579, 718 on our page.

3. How to find GCD of 423, 528, 579, 718 on a calculator?

You can find the GCD of 423, 528, 579, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.