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 117, 535, 366, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 535, 366, 965 is 1
GCD(117, 535, 366, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 535, 366, 965 is 1
GCD(117, 535, 366, 965) = 1
Given Input numbers are 117, 535, 366, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 117, 535, 366, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 535, 366, 965 is 1.
Therefore, GCD of numbers 117, 535, 366, 965 is 1
Given Input Data is 117, 535, 366, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 535 is 5 x 107
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 965 is 5 x 193
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(117, 535) = 62595
GCD(117, 535) = ( 117 x 535 ) / 62595
GCD(117, 535) = 62595 / 62595
GCD(117, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
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
GCD of 117, 535, 366, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 535, 366, 965?
GCD of 117, 535, 366, 965 is 1
2. Where do I get the detailed procedure to find GCD of 117, 535, 366, 965?
You can find a detailed procedure to find GCD of 117, 535, 366, 965 on our page.
3. How to find GCD of 117, 535, 366, 965 on a calculator?
You can find the GCD of 117, 535, 366, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.