Online GCD Calculator is useful to find the GCD of 299, 429, 314 quickly. Get the easiest ways to solve the greatest common divisor of 299, 429, 314 i.e 1 in different methods as follows.
Given Input numbers are 299, 429, 314
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 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (299, 429, 314) = 1.
Given numbers are 299, 429, 314
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 429 are 3 x 11 x 13
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 299, 429, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 429) = 9867
GCD(299, 429) = ( 299 x 429 ) / 9867
= 299 / 429
= 299
Step2:
LCM(13, 314) = 4082
GCD(13, 314) = ( 13 x 314 ) / 4082
= 13 / 314
= 13
So, Greatest Common Divisor of 299, 429, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 429, 314
The greatest common divisor of numbers 299, 429, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 429, 314 is 1.
1. What is the GCD of 299, 429, 314?
GCD of given numbers 299, 429, 314 is 1
2. How to calculate the greatest common divisor of 299, 429, 314?
We can find the highest common divisor of 299, 429, 314 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, 429, 314 i.e 1.
3. How can I use the GCD of 299, 429, 314Calculator?
Out the numbers 299, 429, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.