Online GCD Calculator is useful to find the GCD of 996, 436, 66, 480 quickly. Get the easiest ways to solve the greatest common divisor of 996, 436, 66, 480 i.e 2 in different methods as follows.
Given Input numbers are 996, 436, 66, 480
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 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (996, 436, 66, 480) = 2.
Given numbers are 996, 436, 66, 480
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 436 are 2 x 2 x 109
Prime factors of 66 are 2 x 3 x 11
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 996, 436, 66, 480 is 2.
Given numbers are 996, 436, 66, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 436) = 108564
GCD(996, 436) = ( 996 x 436 ) / 108564
= 996 / 436
= 996
Step2:
LCM(4, 66) = 132
GCD(4, 66) = ( 4 x 66 ) / 132
= 4 / 66
= 4
Step3:
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
= 2 / 480
= 2
So, Greatest Common Divisor of 996, 436, 66, 480 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 436, 66, 480
The greatest common divisor of numbers 996, 436, 66, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 436, 66, 480 is 2.
1. What is the GCD of 996, 436, 66, 480?
GCD of given numbers 996, 436, 66, 480 is 2
2. How to calculate the greatest common divisor of 996, 436, 66, 480?
We can find the highest common divisor of 996, 436, 66, 480 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, 436, 66, 480 i.e 2.
3. How can I use the GCD of 996, 436, 66, 480Calculator?
Out the numbers 996, 436, 66, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.