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, 981, 60, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 981, 60, 437 is 1
GCD(918, 981, 60, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 981, 60, 437 is 1
GCD(918, 981, 60, 437) = 1
Given Input numbers are 918, 981, 60, 437
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 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 918, 981, 60, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 981, 60, 437 is 1.
Therefore, GCD of numbers 918, 981, 60, 437 is 1
Given Input Data is 918, 981, 60, 437
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 981 is 3 x 3 x 109
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 437 is 19 x 23
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, 981) = 100062
GCD(918, 981) = ( 918 x 981 ) / 100062
GCD(918, 981) = 900558 / 100062
GCD(918, 981) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 60) = 180
GCD(9, 60) = ( 9 x 60 ) / 180
GCD(9, 60) = 540 / 180
GCD(9, 60) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 437) = 1311
GCD(3, 437) = ( 3 x 437 ) / 1311
GCD(3, 437) = 1311 / 1311
GCD(3, 437) = 1
GCD of 918, 981, 60, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 981, 60, 437?
GCD of 918, 981, 60, 437 is 1
2. Where do I get the detailed procedure to find GCD of 918, 981, 60, 437?
You can find a detailed procedure to find GCD of 918, 981, 60, 437 on our page.
3. How to find GCD of 918, 981, 60, 437 on a calculator?
You can find the GCD of 918, 981, 60, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.