Online GCD Calculator is useful to find the GCD of 308, 658, 680, 706 quickly. Get the easiest ways to solve the greatest common divisor of 308, 658, 680, 706 i.e 2 in different methods as follows.
Given Input numbers are 308, 658, 680, 706
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 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
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 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
GCD of numbers is the greatest common divisor
So, the GCD (308, 658, 680, 706) = 2.
Given numbers are 308, 658, 680, 706
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 658 are 2 x 7 x 47
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 706 are 2 x 353
The highest common occurrence is 21
Therefore, GCD of 308, 658, 680, 706 is 2.
Given numbers are 308, 658, 680, 706
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 658) = 14476
GCD(308, 658) = ( 308 x 658 ) / 14476
= 308 / 658
= 308
Step2:
LCM(14, 680) = 4760
GCD(14, 680) = ( 14 x 680 ) / 4760
= 14 / 680
= 14
Step3:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
So, Greatest Common Divisor of 308, 658, 680, 706 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 658, 680, 706
The greatest common divisor of numbers 308, 658, 680, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 658, 680, 706 is 2.
1. What is the GCD of 308, 658, 680, 706?
GCD of given numbers 308, 658, 680, 706 is 2
2. How to calculate the greatest common divisor of 308, 658, 680, 706?
We can find the highest common divisor of 308, 658, 680, 706 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, 658, 680, 706 i.e 2.
3. How can I use the GCD of 308, 658, 680, 706Calculator?
Out the numbers 308, 658, 680, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.