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 344, 424, 811, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 424, 811, 480 is 1
GCD(344, 424, 811, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 424, 811, 480 is 1
GCD(344, 424, 811, 480) = 1
Given Input numbers are 344, 424, 811, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 344, 424, 811, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 424, 811, 480 is 1.
Therefore, GCD of numbers 344, 424, 811, 480 is 1
Given Input Data is 344, 424, 811, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 811 is 811
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
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(344, 424) = 18232
GCD(344, 424) = ( 344 x 424 ) / 18232
GCD(344, 424) = 145856 / 18232
GCD(344, 424) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 811) = 6488
GCD(8, 811) = ( 8 x 811 ) / 6488
GCD(8, 811) = 6488 / 6488
GCD(8, 811) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 344, 424, 811, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 424, 811, 480?
GCD of 344, 424, 811, 480 is 1
2. Where do I get the detailed procedure to find GCD of 344, 424, 811, 480?
You can find a detailed procedure to find GCD of 344, 424, 811, 480 on our page.
3. How to find GCD of 344, 424, 811, 480 on a calculator?
You can find the GCD of 344, 424, 811, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.