GCD of 381, 732, 63 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 381, 732, 63 i.e. 3 largest integer that divides all the numbers equally.
GCD of 381, 732, 63 is 3
GCD(381, 732, 63) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 732, 63 is 3
GCD(381, 732, 63) = 3
GCDof 381,732,63 is 3
Given Input numbers are 381, 732, 63
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
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 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Greatest Common Divisior
We found the divisors of 381, 732, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 732, 63 is 3.
Therefore, GCD of numbers 381, 732, 63 is 3
Given Input Data is 381, 732, 63
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 63 is 3 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 381, 732, 63 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(381, 732) = 92964
GCD(381, 732) = ( 381 x 732 ) / 92964
GCD(381, 732) = 278892 / 92964
GCD(381, 732) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 63) = 63
GCD(3, 63) = ( 3 x 63 ) / 63
GCD(3, 63) = 189 / 63
GCD(3, 63) = 3
GCD of 381, 732, 63 is 3
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FAQs on GCD of numbers 381, 732, 63
1. What is the GCD of 381, 732, 63?
GCD of 381, 732, 63 is 3
2. Where do I get the detailed procedure to find GCD of 381, 732, 63?
You can find a detailed procedure to find GCD of 381, 732, 63 on our page.
3. How to find GCD of 381, 732, 63 on a calculator?
You can find the GCD of 381, 732, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.