Online GCD Calculator is useful to find the GCD of 488, 446, 296, 844 quickly. Get the easiest ways to solve the greatest common divisor of 488, 446, 296, 844 i.e 2 in different methods as follows.
Given Input numbers are 488, 446, 296, 844
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
GCD of numbers is the greatest common divisor
So, the GCD (488, 446, 296, 844) = 2.
Given numbers are 488, 446, 296, 844
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 446 are 2 x 223
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 844 are 2 x 2 x 211
The highest common occurrence is 21
Therefore, GCD of 488, 446, 296, 844 is 2.
Given numbers are 488, 446, 296, 844
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 446) = 108824
GCD(488, 446) = ( 488 x 446 ) / 108824
= 488 / 446
= 488
Step2:
LCM(2, 296) = 296
GCD(2, 296) = ( 2 x 296 ) / 296
= 2 / 296
= 2
Step3:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
So, Greatest Common Divisor of 488, 446, 296, 844 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 446, 296, 844
The greatest common divisor of numbers 488, 446, 296, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 446, 296, 844 is 2.
1. What is the GCD of 488, 446, 296, 844?
GCD of given numbers 488, 446, 296, 844 is 2
2. How to calculate the greatest common divisor of 488, 446, 296, 844?
We can find the highest common divisor of 488, 446, 296, 844 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 488, 446, 296, 844 i.e 2.
3. How can I use the GCD of 488, 446, 296, 844Calculator?
Out the numbers 488, 446, 296, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.