GCD of 152, 150, 192 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 152, 150, 192 i.e. 2 largest integer that divides all the numbers equally.
GCD of 152, 150, 192 is 2
GCD(152, 150, 192) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 150, 192 is 2
GCD(152, 150, 192) = 2
GCDof 152,150,192 is 2
Given Input numbers are 152, 150, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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
Greatest Common Divisior
We found the divisors of 152, 150, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 150, 192 is 2.
Therefore, GCD of numbers 152, 150, 192 is 2
Given Input Data is 152, 150, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 152, 150, 192 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(152, 150) = 11400
GCD(152, 150) = ( 152 x 150 ) / 11400
GCD(152, 150) = 22800 / 11400
GCD(152, 150) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 192) = 192
GCD(2, 192) = ( 2 x 192 ) / 192
GCD(2, 192) = 384 / 192
GCD(2, 192) = 2
GCD of 152, 150, 192 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 152, 150, 192
1. What is the GCD of 152, 150, 192?
GCD of 152, 150, 192 is 2
2. Where do I get the detailed procedure to find GCD of 152, 150, 192?
You can find a detailed procedure to find GCD of 152, 150, 192 on our page.
3. How to find GCD of 152, 150, 192 on a calculator?
You can find the GCD of 152, 150, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.