Online GCD Calculator is useful to find the GCD of 686, 782, 249, 108 quickly. Get the easiest ways to solve the greatest common divisor of 686, 782, 249, 108 i.e 1 in different methods as follows.
Given Input numbers are 686, 782, 249, 108
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 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (686, 782, 249, 108) = 1.
Given numbers are 686, 782, 249, 108
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 782 are 2 x 17 x 23
Prime factors of 249 are 3 x 83
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 686, 782, 249, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 782) = 268226
GCD(686, 782) = ( 686 x 782 ) / 268226
= 686 / 782
= 686
Step2:
LCM(2, 249) = 498
GCD(2, 249) = ( 2 x 249 ) / 498
= 2 / 249
= 2
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 686, 782, 249, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 782, 249, 108
The greatest common divisor of numbers 686, 782, 249, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 782, 249, 108 is 1.
1. What is the GCD of 686, 782, 249, 108?
GCD of given numbers 686, 782, 249, 108 is 1
2. How to calculate the greatest common divisor of 686, 782, 249, 108?
We can find the highest common divisor of 686, 782, 249, 108 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, 782, 249, 108 i.e 1.
3. How can I use the GCD of 686, 782, 249, 108Calculator?
Out the numbers 686, 782, 249, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.