Online GCD Calculator is useful to find the GCD of 392, 168, 798, 108 quickly. Get the easiest ways to solve the greatest common divisor of 392, 168, 798, 108 i.e 2 in different methods as follows.
Given Input numbers are 392, 168, 798, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (392, 168, 798, 108) = 2.
Given numbers are 392, 168, 798, 108
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 392, 168, 798, 108 is 2.
Given numbers are 392, 168, 798, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 168) = 1176
GCD(392, 168) = ( 392 x 168 ) / 1176
= 392 / 168
= 392
Step2:
LCM(56, 798) = 3192
GCD(56, 798) = ( 56 x 798 ) / 3192
= 56 / 798
= 56
Step3:
LCM(14, 108) = 756
GCD(14, 108) = ( 14 x 108 ) / 756
= 14 / 108
= 14
So, Greatest Common Divisor of 392, 168, 798, 108 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 168, 798, 108
The greatest common divisor of numbers 392, 168, 798, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 168, 798, 108 is 2.
1. What is the GCD of 392, 168, 798, 108?
GCD of given numbers 392, 168, 798, 108 is 2
2. How to calculate the greatest common divisor of 392, 168, 798, 108?
We can find the highest common divisor of 392, 168, 798, 108 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 392, 168, 798, 108 i.e 2.
3. How can I use the GCD of 392, 168, 798, 108Calculator?
Out the numbers 392, 168, 798, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.