GCD of 324, 316, 58, 829 Calculator

Given Input numbers are 324, 316, 58, 829

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 324, 316, 58, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 316, 58, 829 is 1.

Therefore, GCD of numbers 324, 316, 58, 829 is 1

Given Input Data is 324, 316, 58, 829

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 58 is 2 x 29

Prime Factorization of 829 is 829

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(324, 316) = 25596

GCD(324, 316) = ( 324 x 316 ) / 25596

GCD(324, 316) = 102384 / 25596

GCD(324, 316) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 324, 316, 58, 829 is 1

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• GCD of 888, 468, 45, 863
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1. What is the GCD of 324, 316, 58, 829?

GCD of 324, 316, 58, 829 is 1

2. Where do I get the detailed procedure to find GCD of 324, 316, 58, 829?

You can find a detailed procedure to find GCD of 324, 316, 58, 829 on our page.

3. How to find GCD of 324, 316, 58, 829 on a calculator?

You can find the GCD of 324, 316, 58, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.