Online GCD Calculator is useful to find the GCD of 279, 282, 686 quickly. Get the easiest ways to solve the greatest common divisor of 279, 282, 686 i.e 1 in different methods as follows.
Given Input numbers are 279, 282, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (279, 282, 686) = 1.
Given numbers are 279, 282, 686
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 282 are 2 x 3 x 47
Prime factors of 686 are 2 x 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 279, 282, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 282) = 26226
GCD(279, 282) = ( 279 x 282 ) / 26226
= 279 / 282
= 279
Step2:
LCM(3, 686) = 2058
GCD(3, 686) = ( 3 x 686 ) / 2058
= 3 / 686
= 3
So, Greatest Common Divisor of 279, 282, 686 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 279, 282, 686
The greatest common divisor of numbers 279, 282, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 282, 686 is 1.
1. What is the GCD of 279, 282, 686?
GCD of given numbers 279, 282, 686 is 1
2. How to calculate the greatest common divisor of 279, 282, 686?
We can find the highest common divisor of 279, 282, 686 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 279, 282, 686 i.e 1.
3. How can I use the GCD of 279, 282, 686Calculator?
Out the numbers 279, 282, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.