GCD of 264, 780, 381 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 264, 780, 381 i.e. 3 largest integer that divides all the numbers equally.
GCD of 264, 780, 381 is 3
GCD(264, 780, 381) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 780, 381 is 3
GCD(264, 780, 381) = 3
GCDof 264,780,381 is 3
Given Input numbers are 264, 780, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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 264, 780, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 780, 381 is 3.
Therefore, GCD of numbers 264, 780, 381 is 3
Given Input Data is 264, 780, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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
Finding GCD of 264, 780, 381 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(264, 780) = 17160
GCD(264, 780) = ( 264 x 780 ) / 17160
GCD(264, 780) = 205920 / 17160
GCD(264, 780) = 12
Step2:
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 264, 780, 381 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 264, 780, 381
1. What is the GCD of 264, 780, 381?
GCD of 264, 780, 381 is 3
2. Where do I get the detailed procedure to find GCD of 264, 780, 381?
You can find a detailed procedure to find GCD of 264, 780, 381 on our page.
3. How to find GCD of 264, 780, 381 on a calculator?
You can find the GCD of 264, 780, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.