Online GCD Calculator is useful to find the GCD of 996, 484, 450, 424 quickly. Get the easiest ways to solve the greatest common divisor of 996, 484, 450, 424 i.e 2 in different methods as follows.
Given Input numbers are 996, 484, 450, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 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 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (996, 484, 450, 424) = 2.
Given numbers are 996, 484, 450, 424
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 424 are 2 x 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 996, 484, 450, 424 is 2.
Given numbers are 996, 484, 450, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 484) = 120516
GCD(996, 484) = ( 996 x 484 ) / 120516
= 996 / 484
= 996
Step2:
LCM(4, 450) = 900
GCD(4, 450) = ( 4 x 450 ) / 900
= 4 / 450
= 4
Step3:
LCM(2, 424) = 424
GCD(2, 424) = ( 2 x 424 ) / 424
= 2 / 424
= 2
So, Greatest Common Divisor of 996, 484, 450, 424 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 484, 450, 424
The greatest common divisor of numbers 996, 484, 450, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 484, 450, 424 is 2.
1. What is the GCD of 996, 484, 450, 424?
GCD of given numbers 996, 484, 450, 424 is 2
2. How to calculate the greatest common divisor of 996, 484, 450, 424?
We can find the highest common divisor of 996, 484, 450, 424 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 996, 484, 450, 424 i.e 2.
3. How can I use the GCD of 996, 484, 450, 424Calculator?
Out the numbers 996, 484, 450, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.