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 440, 468, 240, 514 i.e. 2 largest integer that divides all the numbers equally.
GCD of 440, 468, 240, 514 is 2
GCD(440, 468, 240, 514) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 468, 240, 514 is 2
GCD(440, 468, 240, 514) = 2
Given Input numbers are 440, 468, 240, 514
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 440, 468, 240, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 468, 240, 514 is 2.
Therefore, GCD of numbers 440, 468, 240, 514 is 2
Given Input Data is 440, 468, 240, 514
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 514 is 2 x 257
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(440, 468) = 51480
GCD(440, 468) = ( 440 x 468 ) / 51480
GCD(440, 468) = 205920 / 51480
GCD(440, 468) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 240) = 240
GCD(4, 240) = ( 4 x 240 ) / 240
GCD(4, 240) = 960 / 240
GCD(4, 240) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 514) = 1028
GCD(4, 514) = ( 4 x 514 ) / 1028
GCD(4, 514) = 2056 / 1028
GCD(4, 514) = 2
GCD of 440, 468, 240, 514 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 468, 240, 514?
GCD of 440, 468, 240, 514 is 2
2. Where do I get the detailed procedure to find GCD of 440, 468, 240, 514?
You can find a detailed procedure to find GCD of 440, 468, 240, 514 on our page.
3. How to find GCD of 440, 468, 240, 514 on a calculator?
You can find the GCD of 440, 468, 240, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.