Online GCD Calculator is useful to find the GCD of 299, 178, 364 quickly. Get the easiest ways to solve the greatest common divisor of 299, 178, 364 i.e 1 in different methods as follows.
Given Input numbers are 299, 178, 364
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 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (299, 178, 364) = 1.
Given numbers are 299, 178, 364
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 178 are 2 x 89
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 299, 178, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 178) = 53222
GCD(299, 178) = ( 299 x 178 ) / 53222
= 299 / 178
= 299
Step2:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 299, 178, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 178, 364
The greatest common divisor of numbers 299, 178, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 178, 364 is 1.
1. What is the GCD of 299, 178, 364?
GCD of given numbers 299, 178, 364 is 1
2. How to calculate the greatest common divisor of 299, 178, 364?
We can find the highest common divisor of 299, 178, 364 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, 178, 364 i.e 1.
3. How can I use the GCD of 299, 178, 364Calculator?
Out the numbers 299, 178, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.