Online GCD Calculator is useful to find the GCD of 990, 450, 716, 464 quickly. Get the easiest ways to solve the greatest common divisor of 990, 450, 716, 464 i.e 2 in different methods as follows.
Given Input numbers are 990, 450, 716, 464
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 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (990, 450, 716, 464) = 2.
Given numbers are 990, 450, 716, 464
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 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 716 are 2 x 2 x 179
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 990, 450, 716, 464 is 2.
Given numbers are 990, 450, 716, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 450) = 4950
GCD(990, 450) = ( 990 x 450 ) / 4950
= 990 / 450
= 990
Step2:
LCM(90, 716) = 32220
GCD(90, 716) = ( 90 x 716 ) / 32220
= 90 / 716
= 90
Step3:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
So, Greatest Common Divisor of 990, 450, 716, 464 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 450, 716, 464
The greatest common divisor of numbers 990, 450, 716, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 450, 716, 464 is 2.
1. What is the GCD of 990, 450, 716, 464?
GCD of given numbers 990, 450, 716, 464 is 2
2. How to calculate the greatest common divisor of 990, 450, 716, 464?
We can find the highest common divisor of 990, 450, 716, 464 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, 450, 716, 464 i.e 2.
3. How can I use the GCD of 990, 450, 716, 464Calculator?
Out the numbers 990, 450, 716, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.