Online GCD Calculator is useful to find the GCD of 798, 198, 548, 868 quickly. Get the easiest ways to solve the greatest common divisor of 798, 198, 548, 868 i.e 2 in different methods as follows.
Given Input numbers are 798, 198, 548, 868
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 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (798, 198, 548, 868) = 2.
Given numbers are 798, 198, 548, 868
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 548 are 2 x 2 x 137
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 798, 198, 548, 868 is 2.
Given numbers are 798, 198, 548, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 198) = 26334
GCD(798, 198) = ( 798 x 198 ) / 26334
= 798 / 198
= 798
Step2:
LCM(6, 548) = 1644
GCD(6, 548) = ( 6 x 548 ) / 1644
= 6 / 548
= 6
Step3:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
So, Greatest Common Divisor of 798, 198, 548, 868 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 198, 548, 868
The greatest common divisor of numbers 798, 198, 548, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 198, 548, 868 is 2.
1. What is the GCD of 798, 198, 548, 868?
GCD of given numbers 798, 198, 548, 868 is 2
2. How to calculate the greatest common divisor of 798, 198, 548, 868?
We can find the highest common divisor of 798, 198, 548, 868 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, 198, 548, 868 i.e 2.
3. How can I use the GCD of 798, 198, 548, 868Calculator?
Out the numbers 798, 198, 548, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.