Online GCD Calculator is useful to find the GCD of 798, 123, 438 quickly. Get the easiest ways to solve the greatest common divisor of 798, 123, 438 i.e 3 in different methods as follows.
Given Input numbers are 798, 123, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (798, 123, 438) = 3.
Given numbers are 798, 123, 438
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 123 are 3 x 41
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 798, 123, 438 is 3.
Given numbers are 798, 123, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 123) = 32718
GCD(798, 123) = ( 798 x 123 ) / 32718
= 798 / 123
= 798
Step2:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
So, Greatest Common Divisor of 798, 123, 438 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 123, 438
The greatest common divisor of numbers 798, 123, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 123, 438 is 3.
1. What is the GCD of 798, 123, 438?
GCD of given numbers 798, 123, 438 is 3
2. How to calculate the greatest common divisor of 798, 123, 438?
We can find the highest common divisor of 798, 123, 438 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 798, 123, 438 i.e 3.
3. How can I use the GCD of 798, 123, 438Calculator?
Out the numbers 798, 123, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.