Online GCD Calculator is useful to find the GCD of 482, 422, 508, 854 quickly. Get the easiest ways to solve the greatest common divisor of 482, 422, 508, 854 i.e 2 in different methods as follows.
Given Input numbers are 482, 422, 508, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (482, 422, 508, 854) = 2.
Given numbers are 482, 422, 508, 854
The list of prime factors of all numbers are
Prime factors of 482 are 2 x 241
Prime factors of 422 are 2 x 211
Prime factors of 508 are 2 x 2 x 127
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 482, 422, 508, 854 is 2.
Given numbers are 482, 422, 508, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(482, 422) = 101702
GCD(482, 422) = ( 482 x 422 ) / 101702
= 482 / 422
= 482
Step2:
LCM(2, 508) = 508
GCD(2, 508) = ( 2 x 508 ) / 508
= 2 / 508
= 2
Step3:
LCM(2, 854) = 854
GCD(2, 854) = ( 2 x 854 ) / 854
= 2 / 854
= 2
So, Greatest Common Divisor of 482, 422, 508, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 482, 422, 508, 854
The greatest common divisor of numbers 482, 422, 508, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 422, 508, 854 is 2.
1. What is the GCD of 482, 422, 508, 854?
GCD of given numbers 482, 422, 508, 854 is 2
2. How to calculate the greatest common divisor of 482, 422, 508, 854?
We can find the highest common divisor of 482, 422, 508, 854 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 482, 422, 508, 854 i.e 2.
3. How can I use the GCD of 482, 422, 508, 854Calculator?
Out the numbers 482, 422, 508, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.