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 88, 115, 192, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 115, 192, 146 is 1
GCD(88, 115, 192, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 115, 192, 146 is 1
GCD(88, 115, 192, 146) = 1
Given Input numbers are 88, 115, 192, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 88, 115, 192, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 115, 192, 146 is 1.
Therefore, GCD of numbers 88, 115, 192, 146 is 1
Given Input Data is 88, 115, 192, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 115 is 5 x 23
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 146 is 2 x 73
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(88, 115) = 10120
GCD(88, 115) = ( 88 x 115 ) / 10120
GCD(88, 115) = 10120 / 10120
GCD(88, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 88, 115, 192, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 115, 192, 146?
GCD of 88, 115, 192, 146 is 1
2. Where do I get the detailed procedure to find GCD of 88, 115, 192, 146?
You can find a detailed procedure to find GCD of 88, 115, 192, 146 on our page.
3. How to find GCD of 88, 115, 192, 146 on a calculator?
You can find the GCD of 88, 115, 192, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.