Online GCD Calculator is useful to find the GCD of 407, 686, 309, 266 quickly. Get the easiest ways to solve the greatest common divisor of 407, 686, 309, 266 i.e 1 in different methods as follows.
Given Input numbers are 407, 686, 309, 266
In the factoring method, we have to find the divisors of all numbers
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
GCD of numbers is the greatest common divisor
So, the GCD (407, 686, 309, 266) = 1.
Given numbers are 407, 686, 309, 266
The list of prime factors of all numbers are
Prime factors of 407 are 11 x 37
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 309 are 3 x 103
Prime factors of 266 are 2 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 407, 686, 309, 266
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(407, 686) = 279202
GCD(407, 686) = ( 407 x 686 ) / 279202
= 407 / 686
= 407
Step2:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
Step3:
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
= 1 / 266
= 1
So, Greatest Common Divisor of 407, 686, 309, 266 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 407, 686, 309, 266
The greatest common divisor of numbers 407, 686, 309, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 686, 309, 266 is 1.
1. What is the GCD of 407, 686, 309, 266?
GCD of given numbers 407, 686, 309, 266 is 1
2. How to calculate the greatest common divisor of 407, 686, 309, 266?
We can find the highest common divisor of 407, 686, 309, 266 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 407, 686, 309, 266 i.e 1.
3. How can I use the GCD of 407, 686, 309, 266Calculator?
Out the numbers 407, 686, 309, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.