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 103, 913, 965, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 913, 965, 240 is 1
GCD(103, 913, 965, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 913, 965, 240 is 1
GCD(103, 913, 965, 240) = 1
Given Input numbers are 103, 913, 965, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 103, 913, 965, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 913, 965, 240 is 1.
Therefore, GCD of numbers 103, 913, 965, 240 is 1
Given Input Data is 103, 913, 965, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 913 is 11 x 83
Prime Factorization of 965 is 5 x 193
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(103, 913) = 94039
GCD(103, 913) = ( 103 x 913 ) / 94039
GCD(103, 913) = 94039 / 94039
GCD(103, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 103, 913, 965, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 913, 965, 240?
GCD of 103, 913, 965, 240 is 1
2. Where do I get the detailed procedure to find GCD of 103, 913, 965, 240?
You can find a detailed procedure to find GCD of 103, 913, 965, 240 on our page.
3. How to find GCD of 103, 913, 965, 240 on a calculator?
You can find the GCD of 103, 913, 965, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.