Online GCD Calculator is useful to find the GCD of 146, 128, 986, 996 quickly. Get the easiest ways to solve the greatest common divisor of 146, 128, 986, 996 i.e 2 in different methods as follows.
Given Input numbers are 146, 128, 986, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
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
GCD of numbers is the greatest common divisor
So, the GCD (146, 128, 986, 996) = 2.
Given numbers are 146, 128, 986, 996
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 986 are 2 x 17 x 29
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 146, 128, 986, 996 is 2.
Given numbers are 146, 128, 986, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 128) = 9344
GCD(146, 128) = ( 146 x 128 ) / 9344
= 146 / 128
= 146
Step2:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
Step3:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
So, Greatest Common Divisor of 146, 128, 986, 996 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 128, 986, 996
The greatest common divisor of numbers 146, 128, 986, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 128, 986, 996 is 2.
1. What is the GCD of 146, 128, 986, 996?
GCD of given numbers 146, 128, 986, 996 is 2
2. How to calculate the greatest common divisor of 146, 128, 986, 996?
We can find the highest common divisor of 146, 128, 986, 996 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 146, 128, 986, 996 i.e 2.
3. How can I use the GCD of 146, 128, 986, 996Calculator?
Out the numbers 146, 128, 986, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.