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 732, 732, 48, 381 i.e. 3 largest integer that divides all the numbers equally.
GCD of 732, 732, 48, 381 is 3
GCD(732, 732, 48, 381) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 732, 48, 381 is 3
GCD(732, 732, 48, 381) = 3
Given Input numbers are 732, 732, 48, 381
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 732, 732, 48, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 732, 48, 381 is 3.
Therefore, GCD of numbers 732, 732, 48, 381 is 3
Given Input Data is 732, 732, 48, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 381 is 3 x 127
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(732, 732) = 732
GCD(732, 732) = ( 732 x 732 ) / 732
GCD(732, 732) = 535824 / 732
GCD(732, 732) = 732
Step2:
Here we consider the GCD from the above i.e. 732 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(732, 48) = 2928
GCD(732, 48) = ( 732 x 48 ) / 2928
GCD(732, 48) = 35136 / 2928
GCD(732, 48) = 12
Step3:
Here we consider the GCD from the above i.e. 12 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 381) = 1524
GCD(12, 381) = ( 12 x 381 ) / 1524
GCD(12, 381) = 4572 / 1524
GCD(12, 381) = 3
GCD of 732, 732, 48, 381 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 732, 48, 381?
GCD of 732, 732, 48, 381 is 3
2. Where do I get the detailed procedure to find GCD of 732, 732, 48, 381?
You can find a detailed procedure to find GCD of 732, 732, 48, 381 on our page.
3. How to find GCD of 732, 732, 48, 381 on a calculator?
You can find the GCD of 732, 732, 48, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.