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 432, 965, 162, 917 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 965, 162, 917 is 1
GCD(432, 965, 162, 917) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 965, 162, 917 is 1
GCD(432, 965, 162, 917) = 1
Given Input numbers are 432, 965, 162, 917
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Greatest Common Divisior
We found the divisors of 432, 965, 162, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 965, 162, 917 is 1.
Therefore, GCD of numbers 432, 965, 162, 917 is 1
Given Input Data is 432, 965, 162, 917
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 965 is 5 x 193
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 917 is 7 x 131
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(432, 965) = 416880
GCD(432, 965) = ( 432 x 965 ) / 416880
GCD(432, 965) = 416880 / 416880
GCD(432, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 917
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 917) = 917
GCD(1, 917) = ( 1 x 917 ) / 917
GCD(1, 917) = 917 / 917
GCD(1, 917) = 1
GCD of 432, 965, 162, 917 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 965, 162, 917?
GCD of 432, 965, 162, 917 is 1
2. Where do I get the detailed procedure to find GCD of 432, 965, 162, 917?
You can find a detailed procedure to find GCD of 432, 965, 162, 917 on our page.
3. How to find GCD of 432, 965, 162, 917 on a calculator?
You can find the GCD of 432, 965, 162, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.