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 232, 234, 32, 920 i.e. 2 largest integer that divides all the numbers equally.
GCD of 232, 234, 32, 920 is 2
GCD(232, 234, 32, 920) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 234, 32, 920 is 2
GCD(232, 234, 32, 920) = 2
Given Input numbers are 232, 234, 32, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 232, 234, 32, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 234, 32, 920 is 2.
Therefore, GCD of numbers 232, 234, 32, 920 is 2
Given Input Data is 232, 234, 32, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(232, 234) = 27144
GCD(232, 234) = ( 232 x 234 ) / 27144
GCD(232, 234) = 54288 / 27144
GCD(232, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
GCD(2, 920) = 1840 / 920
GCD(2, 920) = 2
GCD of 232, 234, 32, 920 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 234, 32, 920?
GCD of 232, 234, 32, 920 is 2
2. Where do I get the detailed procedure to find GCD of 232, 234, 32, 920?
You can find a detailed procedure to find GCD of 232, 234, 32, 920 on our page.
3. How to find GCD of 232, 234, 32, 920 on a calculator?
You can find the GCD of 232, 234, 32, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.