Online GCD Calculator is useful to find the GCD of 794, 374, 314, 343 quickly. Get the easiest ways to solve the greatest common divisor of 794, 374, 314, 343 i.e 1 in different methods as follows.
Given Input numbers are 794, 374, 314, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (794, 374, 314, 343) = 1.
Given numbers are 794, 374, 314, 343
The list of prime factors of all numbers are
Prime factors of 794 are 2 x 397
Prime factors of 374 are 2 x 11 x 17
Prime factors of 314 are 2 x 157
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 794, 374, 314, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(794, 374) = 148478
GCD(794, 374) = ( 794 x 374 ) / 148478
= 794 / 374
= 794
Step2:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
Step3:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
So, Greatest Common Divisor of 794, 374, 314, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 794, 374, 314, 343
The greatest common divisor of numbers 794, 374, 314, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 374, 314, 343 is 1.
1. What is the GCD of 794, 374, 314, 343?
GCD of given numbers 794, 374, 314, 343 is 1
2. How to calculate the greatest common divisor of 794, 374, 314, 343?
We can find the highest common divisor of 794, 374, 314, 343 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 794, 374, 314, 343 i.e 1.
3. How can I use the GCD of 794, 374, 314, 343Calculator?
Out the numbers 794, 374, 314, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.