Online GCD Calculator is useful to find the GCD of 427, 309, 267 quickly. Get the easiest ways to solve the greatest common divisor of 427, 309, 267 i.e 1 in different methods as follows.
Given Input numbers are 427, 309, 267
In the factoring method, we have to find the divisors of all numbers
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (427, 309, 267) = 1.
Given numbers are 427, 309, 267
The list of prime factors of all numbers are
Prime factors of 427 are 7 x 61
Prime factors of 309 are 3 x 103
Prime factors of 267 are 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 427, 309, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(427, 309) = 131943
GCD(427, 309) = ( 427 x 309 ) / 131943
= 427 / 309
= 427
Step2:
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
= 1 / 267
= 1
So, Greatest Common Divisor of 427, 309, 267 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 427, 309, 267
The greatest common divisor of numbers 427, 309, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 309, 267 is 1.
1. What is the GCD of 427, 309, 267?
GCD of given numbers 427, 309, 267 is 1
2. How to calculate the greatest common divisor of 427, 309, 267?
We can find the highest common divisor of 427, 309, 267 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 427, 309, 267 i.e 1.
3. How can I use the GCD of 427, 309, 267Calculator?
Out the numbers 427, 309, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.