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 388, 952, 103, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 952, 103, 965 is 1
GCD(388, 952, 103, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 952, 103, 965 is 1
GCD(388, 952, 103, 965) = 1
Given Input numbers are 388, 952, 103, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
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 388, 952, 103, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 952, 103, 965 is 1.
Therefore, GCD of numbers 388, 952, 103, 965 is 1
Given Input Data is 388, 952, 103, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 103 is 103
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(388, 952) = 92344
GCD(388, 952) = ( 388 x 952 ) / 92344
GCD(388, 952) = 369376 / 92344
GCD(388, 952) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 103) = 412
GCD(4, 103) = ( 4 x 103 ) / 412
GCD(4, 103) = 412 / 412
GCD(4, 103) = 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 388, 952, 103, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 952, 103, 965?
GCD of 388, 952, 103, 965 is 1
2. Where do I get the detailed procedure to find GCD of 388, 952, 103, 965?
You can find a detailed procedure to find GCD of 388, 952, 103, 965 on our page.
3. How to find GCD of 388, 952, 103, 965 on a calculator?
You can find the GCD of 388, 952, 103, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.