Online GCD Calculator is useful to find the GCD of 686, 748, 318, 398 quickly. Get the easiest ways to solve the greatest common divisor of 686, 748, 318, 398 i.e 2 in different methods as follows.
Given Input numbers are 686, 748, 318, 398
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (686, 748, 318, 398) = 2.
Given numbers are 686, 748, 318, 398
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 398 are 2 x 199
The highest common occurrence is 21
Therefore, GCD of 686, 748, 318, 398 is 2.
Given numbers are 686, 748, 318, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 748) = 256564
GCD(686, 748) = ( 686 x 748 ) / 256564
= 686 / 748
= 686
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
So, Greatest Common Divisor of 686, 748, 318, 398 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 748, 318, 398
The greatest common divisor of numbers 686, 748, 318, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 748, 318, 398 is 2.
1. What is the GCD of 686, 748, 318, 398?
GCD of given numbers 686, 748, 318, 398 is 2
2. How to calculate the greatest common divisor of 686, 748, 318, 398?
We can find the highest common divisor of 686, 748, 318, 398 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 686, 748, 318, 398 i.e 2.
3. How can I use the GCD of 686, 748, 318, 398Calculator?
Out the numbers 686, 748, 318, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.