Online GCD Calculator is useful to find the GCD of 800, 290, 498, 990 quickly. Get the easiest ways to solve the greatest common divisor of 800, 290, 498, 990 i.e 2 in different methods as follows.
Given Input numbers are 800, 290, 498, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
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
GCD of numbers is the greatest common divisor
So, the GCD (800, 290, 498, 990) = 2.
Given numbers are 800, 290, 498, 990
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 290 are 2 x 5 x 29
Prime factors of 498 are 2 x 3 x 83
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 800, 290, 498, 990 is 2.
Given numbers are 800, 290, 498, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 290) = 23200
GCD(800, 290) = ( 800 x 290 ) / 23200
= 800 / 290
= 800
Step2:
LCM(10, 498) = 2490
GCD(10, 498) = ( 10 x 498 ) / 2490
= 10 / 498
= 10
Step3:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
So, Greatest Common Divisor of 800, 290, 498, 990 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 290, 498, 990
The greatest common divisor of numbers 800, 290, 498, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 290, 498, 990 is 2.
1. What is the GCD of 800, 290, 498, 990?
GCD of given numbers 800, 290, 498, 990 is 2
2. How to calculate the greatest common divisor of 800, 290, 498, 990?
We can find the highest common divisor of 800, 290, 498, 990 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 800, 290, 498, 990 i.e 2.
3. How can I use the GCD of 800, 290, 498, 990Calculator?
Out the numbers 800, 290, 498, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.