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 600, 851, 58, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 851, 58, 918 is 1
GCD(600, 851, 58, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 851, 58, 918 is 1
GCD(600, 851, 58, 918) = 1
Given Input numbers are 600, 851, 58, 918
To find the GCD of numbers using factoring list out all the divisors of each number
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 600, 851, 58, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 851, 58, 918 is 1.
Therefore, GCD of numbers 600, 851, 58, 918 is 1
Given Input Data is 600, 851, 58, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 851 is 23 x 37
Prime Factorization of 58 is 2 x 29
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(600, 851) = 510600
GCD(600, 851) = ( 600 x 851 ) / 510600
GCD(600, 851) = 510600 / 510600
GCD(600, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 600, 851, 58, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 851, 58, 918?
GCD of 600, 851, 58, 918 is 1
2. Where do I get the detailed procedure to find GCD of 600, 851, 58, 918?
You can find a detailed procedure to find GCD of 600, 851, 58, 918 on our page.
3. How to find GCD of 600, 851, 58, 918 on a calculator?
You can find the GCD of 600, 851, 58, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.