GCD of 929, 472, 658, 582 Calculator

Given Input numbers are 929, 472, 658, 582

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

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 929, 472, 658, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 472, 658, 582 is 1.

Therefore, GCD of numbers 929, 472, 658, 582 is 1

Given Input Data is 929, 472, 658, 582

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

Prime Factorization of 929 is 929

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 582 is 2 x 3 x 97

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(929, 472) = 438488

GCD(929, 472) = ( 929 x 472 ) / 438488

GCD(929, 472) = 438488 / 438488

GCD(929, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 929, 472, 658, 582 is 1

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1. What is the GCD of 929, 472, 658, 582?

GCD of 929, 472, 658, 582 is 1

2. Where do I get the detailed procedure to find GCD of 929, 472, 658, 582?

You can find a detailed procedure to find GCD of 929, 472, 658, 582 on our page.

3. How to find GCD of 929, 472, 658, 582 on a calculator?

You can find the GCD of 929, 472, 658, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.