GCD of 145, 232, 99 Calculator
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, 232, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 232, 99 is 1
GCD(145, 232, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 232, 99 is 1
GCD(145, 232, 99) = 1
GCDof 145,232,99 is 1
Given Input numbers are 145, 232, 99
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 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 145, 232, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 232, 99 is 1.
Therefore, GCD of numbers 145, 232, 99 is 1
Given Input Data is 145, 232, 99
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 99 is 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 145, 232, 99 using LCM Formula
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, 232) = 1160
GCD(145, 232) = ( 145 x 232 ) / 1160
GCD(145, 232) = 33640 / 1160
GCD(145, 232) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 99) = 2871
GCD(29, 99) = ( 29 x 99 ) / 2871
GCD(29, 99) = 2871 / 2871
GCD(29, 99) = 1
GCD of 145, 232, 99 is 1
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FAQs on GCD of numbers 145, 232, 99
1. What is the GCD of 145, 232, 99?
GCD of 145, 232, 99 is 1
2. Where do I get the detailed procedure to find GCD of 145, 232, 99?
You can find a detailed procedure to find GCD of 145, 232, 99 on our page.
3. How to find GCD of 145, 232, 99 on a calculator?
You can find the GCD of 145, 232, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.