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 145, 968, 287, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 968, 287, 396 is 1
GCD(145, 968, 287, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 968, 287, 396 is 1
GCD(145, 968, 287, 396) = 1
Given Input numbers are 145, 968, 287, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 145, 968, 287, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 968, 287, 396 is 1.
Therefore, GCD of numbers 145, 968, 287, 396 is 1
Given Input Data is 145, 968, 287, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 287 is 7 x 41
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(145, 968) = 140360
GCD(145, 968) = ( 145 x 968 ) / 140360
GCD(145, 968) = 140360 / 140360
GCD(145, 968) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 287) = 287
GCD(1, 287) = ( 1 x 287 ) / 287
GCD(1, 287) = 287 / 287
GCD(1, 287) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 145, 968, 287, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 968, 287, 396?
GCD of 145, 968, 287, 396 is 1
2. Where do I get the detailed procedure to find GCD of 145, 968, 287, 396?
You can find a detailed procedure to find GCD of 145, 968, 287, 396 on our page.
3. How to find GCD of 145, 968, 287, 396 on a calculator?
You can find the GCD of 145, 968, 287, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.