Online GCD Calculator is useful to find the GCD of 990, 200, 676, 270 quickly. Get the easiest ways to solve the greatest common divisor of 990, 200, 676, 270 i.e 2 in different methods as follows.
Given Input numbers are 990, 200, 676, 270
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (990, 200, 676, 270) = 2.
Given numbers are 990, 200, 676, 270
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 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 990, 200, 676, 270 is 2.
Given numbers are 990, 200, 676, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 200) = 19800
GCD(990, 200) = ( 990 x 200 ) / 19800
= 990 / 200
= 990
Step2:
LCM(10, 676) = 3380
GCD(10, 676) = ( 10 x 676 ) / 3380
= 10 / 676
= 10
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 990, 200, 676, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 200, 676, 270
The greatest common divisor of numbers 990, 200, 676, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 200, 676, 270 is 2.
1. What is the GCD of 990, 200, 676, 270?
GCD of given numbers 990, 200, 676, 270 is 2
2. How to calculate the greatest common divisor of 990, 200, 676, 270?
We can find the highest common divisor of 990, 200, 676, 270 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, 200, 676, 270 i.e 2.
3. How can I use the GCD of 990, 200, 676, 270Calculator?
Out the numbers 990, 200, 676, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.