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 40, 968, 955, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 968, 955, 536 is 1
GCD(40, 968, 955, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 968, 955, 536 is 1
GCD(40, 968, 955, 536) = 1
Given Input numbers are 40, 968, 955, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 40, 968, 955, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 968, 955, 536 is 1.
Therefore, GCD of numbers 40, 968, 955, 536 is 1
Given Input Data is 40, 968, 955, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 955 is 5 x 191
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(40, 968) = 4840
GCD(40, 968) = ( 40 x 968 ) / 4840
GCD(40, 968) = 38720 / 4840
GCD(40, 968) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 955) = 7640
GCD(8, 955) = ( 8 x 955 ) / 7640
GCD(8, 955) = 7640 / 7640
GCD(8, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 40, 968, 955, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 968, 955, 536?
GCD of 40, 968, 955, 536 is 1
2. Where do I get the detailed procedure to find GCD of 40, 968, 955, 536?
You can find a detailed procedure to find GCD of 40, 968, 955, 536 on our page.
3. How to find GCD of 40, 968, 955, 536 on a calculator?
You can find the GCD of 40, 968, 955, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.