Online GCD Calculator is useful to find the GCD of 990, 376, 598, 480 quickly. Get the easiest ways to solve the greatest common divisor of 990, 376, 598, 480 i.e 2 in different methods as follows.
Given Input numbers are 990, 376, 598, 480
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (990, 376, 598, 480) = 2.
Given numbers are 990, 376, 598, 480
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 376 are 2 x 2 x 2 x 47
Prime factors of 598 are 2 x 13 x 23
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 990, 376, 598, 480 is 2.
Given numbers are 990, 376, 598, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 376) = 186120
GCD(990, 376) = ( 990 x 376 ) / 186120
= 990 / 376
= 990
Step2:
LCM(2, 598) = 598
GCD(2, 598) = ( 2 x 598 ) / 598
= 2 / 598
= 2
Step3:
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
= 2 / 480
= 2
So, Greatest Common Divisor of 990, 376, 598, 480 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 376, 598, 480
The greatest common divisor of numbers 990, 376, 598, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 376, 598, 480 is 2.
1. What is the GCD of 990, 376, 598, 480?
GCD of given numbers 990, 376, 598, 480 is 2
2. How to calculate the greatest common divisor of 990, 376, 598, 480?
We can find the highest common divisor of 990, 376, 598, 480 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, 376, 598, 480 i.e 2.
3. How can I use the GCD of 990, 376, 598, 480Calculator?
Out the numbers 990, 376, 598, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.