Online GCD Calculator is useful to find the GCD of 371, 289, 338 quickly. Get the easiest ways to solve the greatest common divisor of 371, 289, 338 i.e 1 in different methods as follows.
Given Input numbers are 371, 289, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (371, 289, 338) = 1.
Given numbers are 371, 289, 338
The list of prime factors of all numbers are
Prime factors of 371 are 7 x 53
Prime factors of 289 are 17 x 17
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 371, 289, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(371, 289) = 107219
GCD(371, 289) = ( 371 x 289 ) / 107219
= 371 / 289
= 371
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 371, 289, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 371, 289, 338
The greatest common divisor of numbers 371, 289, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 289, 338 is 1.
1. What is the GCD of 371, 289, 338?
GCD of given numbers 371, 289, 338 is 1
2. How to calculate the greatest common divisor of 371, 289, 338?
We can find the highest common divisor of 371, 289, 338 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 371, 289, 338 i.e 1.
3. How can I use the GCD of 371, 289, 338Calculator?
Out the numbers 371, 289, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.