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, 334, 68, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 334, 68, 827 is 1
GCD(424, 334, 68, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 334, 68, 827 is 1
GCD(424, 334, 68, 827) = 1
Given Input numbers are 424, 334, 68, 827
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 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 424, 334, 68, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 334, 68, 827 is 1.
Therefore, GCD of numbers 424, 334, 68, 827 is 1
Given Input Data is 424, 334, 68, 827
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 334 is 2 x 167
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 827 is 827
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, 334) = 70808
GCD(424, 334) = ( 424 x 334 ) / 70808
GCD(424, 334) = 141616 / 70808
GCD(424, 334) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
GCD(2, 827) = 1654 / 1654
GCD(2, 827) = 1
GCD of 424, 334, 68, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 334, 68, 827?
GCD of 424, 334, 68, 827 is 1
2. Where do I get the detailed procedure to find GCD of 424, 334, 68, 827?
You can find a detailed procedure to find GCD of 424, 334, 68, 827 on our page.
3. How to find GCD of 424, 334, 68, 827 on a calculator?
You can find the GCD of 424, 334, 68, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.