GCD of 58, 828, 316, 984 Calculator

Given Input numbers are 58, 828, 316, 984

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 316

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

1, 2, 4, 79, 158, 316

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 58, 828, 316, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 828, 316, 984 is 2.

Therefore, GCD of numbers 58, 828, 316, 984 is 2

Given Input Data is 58, 828, 316, 984

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(58, 828) = 24012

GCD(58, 828) = ( 58 x 828 ) / 24012

GCD(58, 828) = 48024 / 24012

GCD(58, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

GCD of 58, 828, 316, 984 is 2

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1. What is the GCD of 58, 828, 316, 984?

GCD of 58, 828, 316, 984 is 2

2. Where do I get the detailed procedure to find GCD of 58, 828, 316, 984?

You can find a detailed procedure to find GCD of 58, 828, 316, 984 on our page.

3. How to find GCD of 58, 828, 316, 984 on a calculator?

You can find the GCD of 58, 828, 316, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.