Online GCD Calculator is useful to find the GCD of 990, 916, 475, 834 quickly. Get the easiest ways to solve the greatest common divisor of 990, 916, 475, 834 i.e 1 in different methods as follows.
Given Input numbers are 990, 916, 475, 834
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 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (990, 916, 475, 834) = 1.
Given numbers are 990, 916, 475, 834
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 916 are 2 x 2 x 229
Prime factors of 475 are 5 x 5 x 19
Prime factors of 834 are 2 x 3 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 916, 475, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 916) = 453420
GCD(990, 916) = ( 990 x 916 ) / 453420
= 990 / 916
= 990
Step2:
LCM(2, 475) = 950
GCD(2, 475) = ( 2 x 475 ) / 950
= 2 / 475
= 2
Step3:
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
= 1 / 834
= 1
So, Greatest Common Divisor of 990, 916, 475, 834 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 916, 475, 834
The greatest common divisor of numbers 990, 916, 475, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 916, 475, 834 is 1.
1. What is the GCD of 990, 916, 475, 834?
GCD of given numbers 990, 916, 475, 834 is 1
2. How to calculate the greatest common divisor of 990, 916, 475, 834?
We can find the highest common divisor of 990, 916, 475, 834 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, 916, 475, 834 i.e 1.
3. How can I use the GCD of 990, 916, 475, 834Calculator?
Out the numbers 990, 916, 475, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.