Online GCD Calculator is useful to find the GCD of 488, 102, 450, 916 quickly. Get the easiest ways to solve the greatest common divisor of 488, 102, 450, 916 i.e 2 in different methods as follows.
Given Input numbers are 488, 102, 450, 916
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (488, 102, 450, 916) = 2.
Given numbers are 488, 102, 450, 916
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 102 are 2 x 3 x 17
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 488, 102, 450, 916 is 2.
Given numbers are 488, 102, 450, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 102) = 24888
GCD(488, 102) = ( 488 x 102 ) / 24888
= 488 / 102
= 488
Step2:
LCM(2, 450) = 450
GCD(2, 450) = ( 2 x 450 ) / 450
= 2 / 450
= 2
Step3:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
So, Greatest Common Divisor of 488, 102, 450, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 102, 450, 916
The greatest common divisor of numbers 488, 102, 450, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 102, 450, 916 is 2.
1. What is the GCD of 488, 102, 450, 916?
GCD of given numbers 488, 102, 450, 916 is 2
2. How to calculate the greatest common divisor of 488, 102, 450, 916?
We can find the highest common divisor of 488, 102, 450, 916 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, 102, 450, 916 i.e 2.
3. How can I use the GCD of 488, 102, 450, 916Calculator?
Out the numbers 488, 102, 450, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.