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, 664, 310, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 965, 664, 310, 259 is 1
GCD(965, 664, 310, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 965, 664, 310, 259 is 1
GCD(965, 664, 310, 259) = 1
Given Input numbers are 965, 664, 310, 259
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 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 965, 664, 310, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 664, 310, 259 is 1.
Therefore, GCD of numbers 965, 664, 310, 259 is 1
Given Input Data is 965, 664, 310, 259
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 965 is 5 x 193
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 259 is 7 x 37
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, 664) = 640760
GCD(965, 664) = ( 965 x 664 ) / 640760
GCD(965, 664) = 640760 / 640760
GCD(965, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 965, 664, 310, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 965, 664, 310, 259?
GCD of 965, 664, 310, 259 is 1
2. Where do I get the detailed procedure to find GCD of 965, 664, 310, 259?
You can find a detailed procedure to find GCD of 965, 664, 310, 259 on our page.
3. How to find GCD of 965, 664, 310, 259 on a calculator?
You can find the GCD of 965, 664, 310, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.