Online GCD Calculator is useful to find the GCD of 990, 898, 994, 352 quickly. Get the easiest ways to solve the greatest common divisor of 990, 898, 994, 352 i.e 2 in different methods as follows.
Given Input numbers are 990, 898, 994, 352
In the factoring method, we have to find the divisors of all numbers
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 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (990, 898, 994, 352) = 2.
Given numbers are 990, 898, 994, 352
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 898 are 2 x 449
Prime factors of 994 are 2 x 7 x 71
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 990, 898, 994, 352 is 2.
Given numbers are 990, 898, 994, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 898) = 444510
GCD(990, 898) = ( 990 x 898 ) / 444510
= 990 / 898
= 990
Step2:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
Step3:
LCM(2, 352) = 352
GCD(2, 352) = ( 2 x 352 ) / 352
= 2 / 352
= 2
So, Greatest Common Divisor of 990, 898, 994, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 898, 994, 352
The greatest common divisor of numbers 990, 898, 994, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 898, 994, 352 is 2.
1. What is the GCD of 990, 898, 994, 352?
GCD of given numbers 990, 898, 994, 352 is 2
2. How to calculate the greatest common divisor of 990, 898, 994, 352?
We can find the highest common divisor of 990, 898, 994, 352 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 990, 898, 994, 352 i.e 2.
3. How can I use the GCD of 990, 898, 994, 352Calculator?
Out the numbers 990, 898, 994, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.