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 456, 732, 152 i.e. 4 largest integer that divides all the numbers equally.
GCD of 456, 732, 152 is 4
GCD(456, 732, 152) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 732, 152 is 4
GCD(456, 732, 152) = 4
Given Input numbers are 456, 732, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 456, 732, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 732, 152 is 4.
Therefore, GCD of numbers 456, 732, 152 is 4
Given Input Data is 456, 732, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 152 is 2 x 2 x 2 x 19
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(456, 732) = 27816
GCD(456, 732) = ( 456 x 732 ) / 27816
GCD(456, 732) = 333792 / 27816
GCD(456, 732) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 152) = 456
GCD(12, 152) = ( 12 x 152 ) / 456
GCD(12, 152) = 1824 / 456
GCD(12, 152) = 4
GCD of 456, 732, 152 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 732, 152?
GCD of 456, 732, 152 is 4
2. Where do I get the detailed procedure to find GCD of 456, 732, 152?
You can find a detailed procedure to find GCD of 456, 732, 152 on our page.
3. How to find GCD of 456, 732, 152 on a calculator?
You can find the GCD of 456, 732, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.