Online GCD Calculator is useful to find the GCD of 460, 582, 252, 422 quickly. Get the easiest ways to solve the greatest common divisor of 460, 582, 252, 422 i.e 2 in different methods as follows.
Given Input numbers are 460, 582, 252, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (460, 582, 252, 422) = 2.
Given numbers are 460, 582, 252, 422
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 582 are 2 x 3 x 97
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 460, 582, 252, 422 is 2.
Given numbers are 460, 582, 252, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 582) = 133860
GCD(460, 582) = ( 460 x 582 ) / 133860
= 460 / 582
= 460
Step2:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 460, 582, 252, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 582, 252, 422
The greatest common divisor of numbers 460, 582, 252, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 582, 252, 422 is 2.
1. What is the GCD of 460, 582, 252, 422?
GCD of given numbers 460, 582, 252, 422 is 2
2. How to calculate the greatest common divisor of 460, 582, 252, 422?
We can find the highest common divisor of 460, 582, 252, 422 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 460, 582, 252, 422 i.e 2.
3. How can I use the GCD of 460, 582, 252, 422Calculator?
Out the numbers 460, 582, 252, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.