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 918, 539, 18, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 539, 18, 635 is 1
GCD(918, 539, 18, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 539, 18, 635 is 1
GCD(918, 539, 18, 635) = 1
Given Input numbers are 918, 539, 18, 635
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 918, 539, 18, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 539, 18, 635 is 1.
Therefore, GCD of numbers 918, 539, 18, 635 is 1
Given Input Data is 918, 539, 18, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 635 is 5 x 127
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(918, 539) = 494802
GCD(918, 539) = ( 918 x 539 ) / 494802
GCD(918, 539) = 494802 / 494802
GCD(918, 539) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 918, 539, 18, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 539, 18, 635?
GCD of 918, 539, 18, 635 is 1
2. Where do I get the detailed procedure to find GCD of 918, 539, 18, 635?
You can find a detailed procedure to find GCD of 918, 539, 18, 635 on our page.
3. How to find GCD of 918, 539, 18, 635 on a calculator?
You can find the GCD of 918, 539, 18, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.