Online GCD Calculator is useful to find the GCD of 272, 367, 309, 657 quickly. Get the easiest ways to solve the greatest common divisor of 272, 367, 309, 657 i.e 1 in different methods as follows.
Given Input numbers are 272, 367, 309, 657
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (272, 367, 309, 657) = 1.
Given numbers are 272, 367, 309, 657
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 367 are 367
Prime factors of 309 are 3 x 103
Prime factors of 657 are 3 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 367, 309, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 367) = 99824
GCD(272, 367) = ( 272 x 367 ) / 99824
= 272 / 367
= 272
Step2:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
Step3:
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
= 1 / 657
= 1
So, Greatest Common Divisor of 272, 367, 309, 657 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 367, 309, 657
The greatest common divisor of numbers 272, 367, 309, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 367, 309, 657 is 1.
1. What is the GCD of 272, 367, 309, 657?
GCD of given numbers 272, 367, 309, 657 is 1
2. How to calculate the greatest common divisor of 272, 367, 309, 657?
We can find the highest common divisor of 272, 367, 309, 657 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 272, 367, 309, 657 i.e 1.
3. How can I use the GCD of 272, 367, 309, 657Calculator?
Out the numbers 272, 367, 309, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.