GCD of 58, 486, 100, 376 Calculator

Given Input numbers are 58, 486, 100, 376

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 58, 486, 100, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 486, 100, 376 is 2.

Therefore, GCD of numbers 58, 486, 100, 376 is 2

Given Input Data is 58, 486, 100, 376

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 376 is 2 x 2 x 2 x 47

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, 486) = 14094

GCD(58, 486) = ( 58 x 486 ) / 14094

GCD(58, 486) = 28188 / 14094

GCD(58, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

GCD of 58, 486, 100, 376 is 2

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1. What is the GCD of 58, 486, 100, 376?

GCD of 58, 486, 100, 376 is 2

2. Where do I get the detailed procedure to find GCD of 58, 486, 100, 376?

You can find a detailed procedure to find GCD of 58, 486, 100, 376 on our page.

3. How to find GCD of 58, 486, 100, 376 on a calculator?

You can find the GCD of 58, 486, 100, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.