Online GCD Calculator is useful to find the GCD of 308, 682, 784, 694 quickly. Get the easiest ways to solve the greatest common divisor of 308, 682, 784, 694 i.e 2 in different methods as follows.
Given Input numbers are 308, 682, 784, 694
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 (308, 682, 784, 694) = 2.
Given numbers are 308, 682, 784, 694
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 682 are 2 x 11 x 31
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 694 are 2 x 347
The highest common occurrence is 21
Therefore, GCD of 308, 682, 784, 694 is 2.
Given numbers are 308, 682, 784, 694
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 682) = 9548
GCD(308, 682) = ( 308 x 682 ) / 9548
= 308 / 682
= 308
Step2:
LCM(22, 784) = 8624
GCD(22, 784) = ( 22 x 784 ) / 8624
= 22 / 784
= 22
Step3:
LCM(2, 694) = 694
GCD(2, 694) = ( 2 x 694 ) / 694
= 2 / 694
= 2
So, Greatest Common Divisor of 308, 682, 784, 694 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 682, 784, 694
The greatest common divisor of numbers 308, 682, 784, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 682, 784, 694 is 2.
1. What is the GCD of 308, 682, 784, 694?
GCD of given numbers 308, 682, 784, 694 is 2
2. How to calculate the greatest common divisor of 308, 682, 784, 694?
We can find the highest common divisor of 308, 682, 784, 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 308, 682, 784, 694 i.e 2.
3. How can I use the GCD of 308, 682, 784, 694Calculator?
Out the numbers 308, 682, 784, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.