Online GCD Calculator is useful to find the GCD of 478, 990, 196, 176 quickly. Get the easiest ways to solve the greatest common divisor of 478, 990, 196, 176 i.e 2 in different methods as follows.
Given Input numbers are 478, 990, 196, 176
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (478, 990, 196, 176) = 2.
Given numbers are 478, 990, 196, 176
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 478, 990, 196, 176 is 2.
Given numbers are 478, 990, 196, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 990) = 236610
GCD(478, 990) = ( 478 x 990 ) / 236610
= 478 / 990
= 478
Step2:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
Step3:
LCM(2, 176) = 176
GCD(2, 176) = ( 2 x 176 ) / 176
= 2 / 176
= 2
So, Greatest Common Divisor of 478, 990, 196, 176 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 990, 196, 176
The greatest common divisor of numbers 478, 990, 196, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 990, 196, 176 is 2.
1. What is the GCD of 478, 990, 196, 176?
GCD of given numbers 478, 990, 196, 176 is 2
2. How to calculate the greatest common divisor of 478, 990, 196, 176?
We can find the highest common divisor of 478, 990, 196, 176 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 478, 990, 196, 176 i.e 2.
3. How can I use the GCD of 478, 990, 196, 176Calculator?
Out the numbers 478, 990, 196, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.