Online GCD Calculator is useful to find the GCD of 394, 494, 680, 694 quickly. Get the easiest ways to solve the greatest common divisor of 394, 494, 680, 694 i.e 2 in different methods as follows.
Given Input numbers are 394, 494, 680, 694
In the factoring method, we have to find the divisors of all numbers
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
GCD of numbers is the greatest common divisor
So, the GCD (394, 494, 680, 694) = 2.
Given numbers are 394, 494, 680, 694
The list of prime factors of all numbers are
Prime factors of 394 are 2 x 197
Prime factors of 494 are 2 x 13 x 19
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 694 are 2 x 347
The highest common occurrence is 21
Therefore, GCD of 394, 494, 680, 694 is 2.
Given numbers are 394, 494, 680, 694
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(394, 494) = 97318
GCD(394, 494) = ( 394 x 494 ) / 97318
= 394 / 494
= 394
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 694) = 694
GCD(2, 694) = ( 2 x 694 ) / 694
= 2 / 694
= 2
So, Greatest Common Divisor of 394, 494, 680, 694 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 394, 494, 680, 694
The greatest common divisor of numbers 394, 494, 680, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 494, 680, 694 is 2.
1. What is the GCD of 394, 494, 680, 694?
GCD of given numbers 394, 494, 680, 694 is 2
2. How to calculate the greatest common divisor of 394, 494, 680, 694?
We can find the highest common divisor of 394, 494, 680, 694 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 394, 494, 680, 694 i.e 2.
3. How can I use the GCD of 394, 494, 680, 694Calculator?
Out the numbers 394, 494, 680, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.