Online GCD Calculator is useful to find the GCD of 996, 920, 928, 422 quickly. Get the easiest ways to solve the greatest common divisor of 996, 920, 928, 422 i.e 2 in different methods as follows.
Given Input numbers are 996, 920, 928, 422
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 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (996, 920, 928, 422) = 2.
Given numbers are 996, 920, 928, 422
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 996, 920, 928, 422 is 2.
Given numbers are 996, 920, 928, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 920) = 229080
GCD(996, 920) = ( 996 x 920 ) / 229080
= 996 / 920
= 996
Step2:
LCM(4, 928) = 928
GCD(4, 928) = ( 4 x 928 ) / 928
= 4 / 928
= 4
Step3:
LCM(4, 422) = 844
GCD(4, 422) = ( 4 x 422 ) / 844
= 4 / 422
= 4
So, Greatest Common Divisor of 996, 920, 928, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 920, 928, 422
The greatest common divisor of numbers 996, 920, 928, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 920, 928, 422 is 2.
1. What is the GCD of 996, 920, 928, 422?
GCD of given numbers 996, 920, 928, 422 is 2
2. How to calculate the greatest common divisor of 996, 920, 928, 422?
We can find the highest common divisor of 996, 920, 928, 422 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, 920, 928, 422 i.e 2.
3. How can I use the GCD of 996, 920, 928, 422Calculator?
Out the numbers 996, 920, 928, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.