Online GCD Calculator is useful to find the GCD of 996, 513, 123 quickly. Get the easiest ways to solve the greatest common divisor of 996, 513, 123 i.e 3 in different methods as follows.
Given Input numbers are 996, 513, 123
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 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (996, 513, 123) = 3.
Given numbers are 996, 513, 123
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 123 are 3 x 41
The highest common occurrence is 31
Therefore, GCD of 996, 513, 123 is 3.
Given numbers are 996, 513, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 513) = 170316
GCD(996, 513) = ( 996 x 513 ) / 170316
= 996 / 513
= 996
Step2:
LCM(3, 123) = 123
GCD(3, 123) = ( 3 x 123 ) / 123
= 3 / 123
= 3
So, Greatest Common Divisor of 996, 513, 123 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 513, 123
The greatest common divisor of numbers 996, 513, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 513, 123 is 3.
1. What is the GCD of 996, 513, 123?
GCD of given numbers 996, 513, 123 is 3
2. How to calculate the greatest common divisor of 996, 513, 123?
We can find the highest common divisor of 996, 513, 123 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, 513, 123 i.e 3.
3. How can I use the GCD of 996, 513, 123Calculator?
Out the numbers 996, 513, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.