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 936, 270, 992, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 936, 270, 992, 617 is 1
GCD(936, 270, 992, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 936, 270, 992, 617 is 1
GCD(936, 270, 992, 617) = 1
Given Input numbers are 936, 270, 992, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 936, 270, 992, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 270, 992, 617 is 1.
Therefore, GCD of numbers 936, 270, 992, 617 is 1
Given Input Data is 936, 270, 992, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 617 is 617
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(936, 270) = 14040
GCD(936, 270) = ( 936 x 270 ) / 14040
GCD(936, 270) = 252720 / 14040
GCD(936, 270) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 992) = 8928
GCD(18, 992) = ( 18 x 992 ) / 8928
GCD(18, 992) = 17856 / 8928
GCD(18, 992) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 617) = 1234
GCD(2, 617) = ( 2 x 617 ) / 1234
GCD(2, 617) = 1234 / 1234
GCD(2, 617) = 1
GCD of 936, 270, 992, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 936, 270, 992, 617?
GCD of 936, 270, 992, 617 is 1
2. Where do I get the detailed procedure to find GCD of 936, 270, 992, 617?
You can find a detailed procedure to find GCD of 936, 270, 992, 617 on our page.
3. How to find GCD of 936, 270, 992, 617 on a calculator?
You can find the GCD of 936, 270, 992, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.