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 424, 421, 49, 286 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 421, 49, 286 is 1
GCD(424, 421, 49, 286) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 421, 49, 286 is 1
GCD(424, 421, 49, 286) = 1
Given Input numbers are 424, 421, 49, 286
To find the GCD of numbers using factoring list out all the divisors of each number
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 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Greatest Common Divisior
We found the divisors of 424, 421, 49, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 421, 49, 286 is 1.
Therefore, GCD of numbers 424, 421, 49, 286 is 1
Given Input Data is 424, 421, 49, 286
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 421 is 421
Prime Factorization of 49 is 7 x 7
Prime Factorization of 286 is 2 x 11 x 13
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(424, 421) = 178504
GCD(424, 421) = ( 424 x 421 ) / 178504
GCD(424, 421) = 178504 / 178504
GCD(424, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
GCD of 424, 421, 49, 286 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 421, 49, 286?
GCD of 424, 421, 49, 286 is 1
2. Where do I get the detailed procedure to find GCD of 424, 421, 49, 286?
You can find a detailed procedure to find GCD of 424, 421, 49, 286 on our page.
3. How to find GCD of 424, 421, 49, 286 on a calculator?
You can find the GCD of 424, 421, 49, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.