Online GCD Calculator is useful to find the GCD of 990, 550, 362 quickly. Get the easiest ways to solve the greatest common divisor of 990, 550, 362 i.e 2 in different methods as follows.
Given Input numbers are 990, 550, 362
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 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (990, 550, 362) = 2.
Given numbers are 990, 550, 362
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 550 are 2 x 5 x 5 x 11
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 990, 550, 362 is 2.
Given numbers are 990, 550, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 550) = 4950
GCD(990, 550) = ( 990 x 550 ) / 4950
= 990 / 550
= 990
Step2:
LCM(110, 362) = 19910
GCD(110, 362) = ( 110 x 362 ) / 19910
= 110 / 362
= 110
So, Greatest Common Divisor of 990, 550, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 550, 362
The greatest common divisor of numbers 990, 550, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 550, 362 is 2.
1. What is the GCD of 990, 550, 362?
GCD of given numbers 990, 550, 362 is 2
2. How to calculate the greatest common divisor of 990, 550, 362?
We can find the highest common divisor of 990, 550, 362 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, 550, 362 i.e 2.
3. How can I use the GCD of 990, 550, 362Calculator?
Out the numbers 990, 550, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.