Online GCD Calculator is useful to find the GCD of 684, 341, 374 quickly. Get the easiest ways to solve the greatest common divisor of 684, 341, 374 i.e 1 in different methods as follows.
Given Input numbers are 684, 341, 374
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (684, 341, 374) = 1.
Given numbers are 684, 341, 374
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 341 are 11 x 31
Prime factors of 374 are 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 341, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 341) = 233244
GCD(684, 341) = ( 684 x 341 ) / 233244
= 684 / 341
= 684
Step2:
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
= 1 / 374
= 1
So, Greatest Common Divisor of 684, 341, 374 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 341, 374
The greatest common divisor of numbers 684, 341, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 341, 374 is 1.
1. What is the GCD of 684, 341, 374?
GCD of given numbers 684, 341, 374 is 1
2. How to calculate the greatest common divisor of 684, 341, 374?
We can find the highest common divisor of 684, 341, 374 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 684, 341, 374 i.e 1.
3. How can I use the GCD of 684, 341, 374Calculator?
Out the numbers 684, 341, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.