GCD of 42, 529, 491, 724 Calculator

Given Input numbers are 42, 529, 491, 724

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 42, 529, 491, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 529, 491, 724 is 1.

Therefore, GCD of numbers 42, 529, 491, 724 is 1

Given Input Data is 42, 529, 491, 724

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 529 is 23 x 23

Prime Factorization of 491 is 491

Prime Factorization of 724 is 2 x 2 x 181

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(42, 529) = 22218

GCD(42, 529) = ( 42 x 529 ) / 22218

GCD(42, 529) = 22218 / 22218

GCD(42, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 42, 529, 491, 724 is 1

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1. What is the GCD of 42, 529, 491, 724?

GCD of 42, 529, 491, 724 is 1

2. Where do I get the detailed procedure to find GCD of 42, 529, 491, 724?

You can find a detailed procedure to find GCD of 42, 529, 491, 724 on our page.

3. How to find GCD of 42, 529, 491, 724 on a calculator?

You can find the GCD of 42, 529, 491, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.