GCD of 58, 138, 876, 404 Calculator

Given Input numbers are 58, 138, 876, 404

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 58, 138, 876, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 138, 876, 404 is 2.

Therefore, GCD of numbers 58, 138, 876, 404 is 2

Given Input Data is 58, 138, 876, 404

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 404 is 2 x 2 x 101

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, 138) = 4002

GCD(58, 138) = ( 58 x 138 ) / 4002

GCD(58, 138) = 8004 / 4002

GCD(58, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 404

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

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

GCD(2, 404) = 808 / 404

GCD(2, 404) = 2

GCD of 58, 138, 876, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 906, 767, 331
• GCD of 34, 132, 413, 485
• GCD of 72, 492, 752, 537
• GCD of 87, 620, 622, 685
• GCD of 57, 984, 435, 406

1. What is the GCD of 58, 138, 876, 404?

GCD of 58, 138, 876, 404 is 2

2. Where do I get the detailed procedure to find GCD of 58, 138, 876, 404?

You can find a detailed procedure to find GCD of 58, 138, 876, 404 on our page.

3. How to find GCD of 58, 138, 876, 404 on a calculator?

You can find the GCD of 58, 138, 876, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.