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 969, 160, 24, 232 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 160, 24, 232 is 1
GCD(969, 160, 24, 232) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 160, 24, 232 is 1
GCD(969, 160, 24, 232) = 1
Given Input numbers are 969, 160, 24, 232
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
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 969, 160, 24, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 160, 24, 232 is 1.
Therefore, GCD of numbers 969, 160, 24, 232 is 1
Given Input Data is 969, 160, 24, 232
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 24 is 2 x 2 x 2 x 3
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(969, 160) = 155040
GCD(969, 160) = ( 969 x 160 ) / 155040
GCD(969, 160) = 155040 / 155040
GCD(969, 160) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 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 969, 160, 24, 232 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 160, 24, 232?
GCD of 969, 160, 24, 232 is 1
2. Where do I get the detailed procedure to find GCD of 969, 160, 24, 232?
You can find a detailed procedure to find GCD of 969, 160, 24, 232 on our page.
3. How to find GCD of 969, 160, 24, 232 on a calculator?
You can find the GCD of 969, 160, 24, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.