Online GCD Calculator is useful to find the GCD of 105, 105, 798 quickly. Get the easiest ways to solve the greatest common divisor of 105, 105, 798 i.e 21 in different methods as follows.
Given Input numbers are 105, 105, 798
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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
GCD of numbers is the greatest common divisor
So, the GCD (105, 105, 798) = 21.
Given numbers are 105, 105, 798
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 105 are 3 x 5 x 7
Prime factors of 798 are 2 x 3 x 7 x 19
The highest common occurrence is 31 x 71
Therefore, GCD of 105, 105, 798 is 21.
Given numbers are 105, 105, 798
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 105) = 105
GCD(105, 105) = ( 105 x 105 ) / 105
= 105 / 105
= 105
Step2:
LCM(105, 798) = 3990
GCD(105, 798) = ( 105 x 798 ) / 3990
= 105 / 798
= 105
So, Greatest Common Divisor of 105, 105, 798 is 21
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 105, 798
The greatest common divisor of numbers 105, 105, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 105, 798 is 21.
1. What is the GCD of 105, 105, 798?
GCD of given numbers 105, 105, 798 is 21
2. How to calculate the greatest common divisor of 105, 105, 798?
We can find the highest common divisor of 105, 105, 798 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 105, 105, 798 i.e 21.
3. How can I use the GCD of 105, 105, 798Calculator?
Out the numbers 105, 105, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.