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 320, 967, 203, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 967, 203, 232 is 1
GCD(320, 967, 203, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 967, 203, 232 is 1
GCD(320, 967, 203, 232) = 1
Given Input numbers are 320, 967, 203, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Greatest Common Divisior
We found the divisors of 320, 967, 203, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 967, 203, 232 is 1.
Therefore, GCD of numbers 320, 967, 203, 232 is 1
Given Input Data is 320, 967, 203, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 967 is 967
Prime Factorization of 203 is 7 x 29
Prime Factorization of 232 is 2 x 2 x 2 x 29
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(320, 967) = 309440
GCD(320, 967) = ( 320 x 967 ) / 309440
GCD(320, 967) = 309440 / 309440
GCD(320, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
GCD of 320, 967, 203, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 967, 203, 232?
GCD of 320, 967, 203, 232 is 1
2. Where do I get the detailed procedure to find GCD of 320, 967, 203, 232?
You can find a detailed procedure to find GCD of 320, 967, 203, 232 on our page.
3. How to find GCD of 320, 967, 203, 232 on a calculator?
You can find the GCD of 320, 967, 203, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.