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, 138, 600, 806 i.e. 2 largest integer that divides all the numbers equally.
GCD of 58, 138, 600, 806 is 2
GCD(58, 138, 600, 806) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 138, 600, 806 is 2
GCD(58, 138, 600, 806) = 2
Given Input numbers are 58, 138, 600, 806
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Greatest Common Divisior
We found the divisors of 58, 138, 600, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 138, 600, 806 is 2.
Therefore, GCD of numbers 58, 138, 600, 806 is 2
Given Input Data is 58, 138, 600, 806
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 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 806 is 2 x 13 x 31
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 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
GCD(2, 600) = 1200 / 600
GCD(2, 600) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 806) = 806
GCD(2, 806) = ( 2 x 806 ) / 806
GCD(2, 806) = 1612 / 806
GCD(2, 806) = 2
GCD of 58, 138, 600, 806 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 138, 600, 806?
GCD of 58, 138, 600, 806 is 2
2. Where do I get the detailed procedure to find GCD of 58, 138, 600, 806?
You can find a detailed procedure to find GCD of 58, 138, 600, 806 on our page.
3. How to find GCD of 58, 138, 600, 806 on a calculator?
You can find the GCD of 58, 138, 600, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.