Online GCD Calculator is useful to find the GCD of 990, 484, 461, 736 quickly. Get the easiest ways to solve the greatest common divisor of 990, 484, 461, 736 i.e 1 in different methods as follows.
Given Input numbers are 990, 484, 461, 736
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (990, 484, 461, 736) = 1.
Given numbers are 990, 484, 461, 736
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 484 are 2 x 2 x 11 x 11
Prime factors of 461 are 461
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 484, 461, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 484) = 21780
GCD(990, 484) = ( 990 x 484 ) / 21780
= 990 / 484
= 990
Step2:
LCM(22, 461) = 10142
GCD(22, 461) = ( 22 x 461 ) / 10142
= 22 / 461
= 22
Step3:
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
= 1 / 736
= 1
So, Greatest Common Divisor of 990, 484, 461, 736 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 484, 461, 736
The greatest common divisor of numbers 990, 484, 461, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 484, 461, 736 is 1.
1. What is the GCD of 990, 484, 461, 736?
GCD of given numbers 990, 484, 461, 736 is 1
2. How to calculate the greatest common divisor of 990, 484, 461, 736?
We can find the highest common divisor of 990, 484, 461, 736 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, 484, 461, 736 i.e 1.
3. How can I use the GCD of 990, 484, 461, 736Calculator?
Out the numbers 990, 484, 461, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.