Online GCD Calculator is useful to find the GCD of 108, 267, 506, 361 quickly. Get the easiest ways to solve the greatest common divisor of 108, 267, 506, 361 i.e 1 in different methods as follows.
Given Input numbers are 108, 267, 506, 361
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (108, 267, 506, 361) = 1.
Given numbers are 108, 267, 506, 361
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 267 are 3 x 89
Prime factors of 506 are 2 x 11 x 23
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 267, 506, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 267) = 9612
GCD(108, 267) = ( 108 x 267 ) / 9612
= 108 / 267
= 108
Step2:
LCM(3, 506) = 1518
GCD(3, 506) = ( 3 x 506 ) / 1518
= 3 / 506
= 3
Step3:
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
= 1 / 361
= 1
So, Greatest Common Divisor of 108, 267, 506, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 267, 506, 361
The greatest common divisor of numbers 108, 267, 506, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 267, 506, 361 is 1.
1. What is the GCD of 108, 267, 506, 361?
GCD of given numbers 108, 267, 506, 361 is 1
2. How to calculate the greatest common divisor of 108, 267, 506, 361?
We can find the highest common divisor of 108, 267, 506, 361 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 108, 267, 506, 361 i.e 1.
3. How can I use the GCD of 108, 267, 506, 361Calculator?
Out the numbers 108, 267, 506, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.