Online GCD Calculator is useful to find the GCD of 798, 112, 266 quickly. Get the easiest ways to solve the greatest common divisor of 798, 112, 266 i.e 14 in different methods as follows.
Given Input numbers are 798, 112, 266
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 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
GCD of numbers is the greatest common divisor
So, the GCD (798, 112, 266) = 14.
Given numbers are 798, 112, 266
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 266 are 2 x 7 x 19
The highest common occurrence is 21 x 71
Therefore, GCD of 798, 112, 266 is 14.
Given numbers are 798, 112, 266
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 112) = 6384
GCD(798, 112) = ( 798 x 112 ) / 6384
= 798 / 112
= 798
Step2:
LCM(14, 266) = 266
GCD(14, 266) = ( 14 x 266 ) / 266
= 14 / 266
= 14
So, Greatest Common Divisor of 798, 112, 266 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 112, 266
The greatest common divisor of numbers 798, 112, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 112, 266 is 14.
1. What is the GCD of 798, 112, 266?
GCD of given numbers 798, 112, 266 is 14
2. How to calculate the greatest common divisor of 798, 112, 266?
We can find the highest common divisor of 798, 112, 266 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, 112, 266 i.e 14.
3. How can I use the GCD of 798, 112, 266Calculator?
Out the numbers 798, 112, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.