Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 58, 718, 426, 442 i.e. 2 largest integer that divides all the numbers equally.
GCD of 58, 718, 426, 442 is 2
GCD(58, 718, 426, 442) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 718, 426, 442 is 2
GCD(58, 718, 426, 442) = 2
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.
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.