GCD of 58, 718, 426, 442 Calculator

Given Input numbers are 58, 718, 426, 442

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 58, 718, 426, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 718, 426, 442 is 2.

Therefore, GCD of numbers 58, 718, 426, 442 is 2

Given Input Data is 58, 718, 426, 442

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 718 is 2 x 359

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 442 is 2 x 13 x 17

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, 718) = 20822

GCD(58, 718) = ( 58 x 718 ) / 20822

GCD(58, 718) = 41644 / 20822

GCD(58, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 58, 718, 426, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 825, 790, 188
• GCD of 70, 550, 122, 872
• GCD of 36, 786, 285, 453
• GCD of 58, 644, 298, 544
• GCD of 17, 511, 559, 844

1. What is the GCD of 58, 718, 426, 442?

GCD of 58, 718, 426, 442 is 2

2. Where do I get the detailed procedure to find GCD of 58, 718, 426, 442?

You can find a detailed procedure to find GCD of 58, 718, 426, 442 on our page.

3. How to find GCD of 58, 718, 426, 442 on a calculator?

You can find the GCD of 58, 718, 426, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.