Online GCD Calculator is useful to find the GCD of 686, 390, 540, 918 quickly. Get the easiest ways to solve the greatest common divisor of 686, 390, 540, 918 i.e 2 in different methods as follows.
Given Input numbers are 686, 390, 540, 918
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (686, 390, 540, 918) = 2.
Given numbers are 686, 390, 540, 918
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 686, 390, 540, 918 is 2.
Given numbers are 686, 390, 540, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 390) = 133770
GCD(686, 390) = ( 686 x 390 ) / 133770
= 686 / 390
= 686
Step2:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 686, 390, 540, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 390, 540, 918
The greatest common divisor of numbers 686, 390, 540, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 390, 540, 918 is 2.
1. What is the GCD of 686, 390, 540, 918?
GCD of given numbers 686, 390, 540, 918 is 2
2. How to calculate the greatest common divisor of 686, 390, 540, 918?
We can find the highest common divisor of 686, 390, 540, 918 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, 390, 540, 918 i.e 2.
3. How can I use the GCD of 686, 390, 540, 918Calculator?
Out the numbers 686, 390, 540, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.