Online GCD Calculator is useful to find the GCD of 299, 247, 871 quickly. Get the easiest ways to solve the greatest common divisor of 299, 247, 871 i.e 13 in different methods as follows.
Given Input numbers are 299, 247, 871
In the factoring method, we have to find the divisors of all numbers
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 247 :
The positive integer divisors of 247 that completely divides 247 are.
1, 13, 19, 247
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (299, 247, 871) = 13.
Given numbers are 299, 247, 871
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 247 are 13 x 19
Prime factors of 871 are 13 x 67
The highest common occurrence is 131
Therefore, GCD of 299, 247, 871 is 13.
Given numbers are 299, 247, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 247) = 5681
GCD(299, 247) = ( 299 x 247 ) / 5681
= 299 / 247
= 299
Step2:
LCM(13, 871) = 871
GCD(13, 871) = ( 13 x 871 ) / 871
= 13 / 871
= 13
So, Greatest Common Divisor of 299, 247, 871 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 247, 871
The greatest common divisor of numbers 299, 247, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 247, 871 is 13.
1. What is the GCD of 299, 247, 871?
GCD of given numbers 299, 247, 871 is 13
2. How to calculate the greatest common divisor of 299, 247, 871?
We can find the highest common divisor of 299, 247, 871 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 299, 247, 871 i.e 13.
3. How can I use the GCD of 299, 247, 871Calculator?
Out the numbers 299, 247, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.