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 965, 852, 214, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 852, 214, 368 is 1
GCD(965, 852, 214, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 852, 214, 368 is 1
GCD(965, 852, 214, 368) = 1
Given Input numbers are 965, 852, 214, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 965, 852, 214, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 852, 214, 368 is 1.
Therefore, GCD of numbers 965, 852, 214, 368 is 1
Given Input Data is 965, 852, 214, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 214 is 2 x 107
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(965, 852) = 822180
GCD(965, 852) = ( 965 x 852 ) / 822180
GCD(965, 852) = 822180 / 822180
GCD(965, 852) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 965, 852, 214, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 852, 214, 368?
GCD of 965, 852, 214, 368 is 1
2. Where do I get the detailed procedure to find GCD of 965, 852, 214, 368?
You can find a detailed procedure to find GCD of 965, 852, 214, 368 on our page.
3. How to find GCD of 965, 852, 214, 368 on a calculator?
You can find the GCD of 965, 852, 214, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.