Online GCD Calculator is useful to find the GCD of 272, 289, 949, 587 quickly. Get the easiest ways to solve the greatest common divisor of 272, 289, 949, 587 i.e 1 in different methods as follows.
Given Input numbers are 272, 289, 949, 587
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 587 :
The positive integer divisors of 587 that completely divides 587 are.
1, 587
GCD of numbers is the greatest common divisor
So, the GCD (272, 289, 949, 587) = 1.
Given numbers are 272, 289, 949, 587
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 289 are 17 x 17
Prime factors of 949 are 13 x 73
Prime factors of 587 are 587
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 289, 949, 587
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 289) = 4624
GCD(272, 289) = ( 272 x 289 ) / 4624
= 272 / 289
= 272
Step2:
LCM(17, 949) = 16133
GCD(17, 949) = ( 17 x 949 ) / 16133
= 17 / 949
= 17
Step3:
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
= 1 / 587
= 1
So, Greatest Common Divisor of 272, 289, 949, 587 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 289, 949, 587
The greatest common divisor of numbers 272, 289, 949, 587 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 289, 949, 587 is 1.
1. What is the GCD of 272, 289, 949, 587?
GCD of given numbers 272, 289, 949, 587 is 1
2. How to calculate the greatest common divisor of 272, 289, 949, 587?
We can find the highest common divisor of 272, 289, 949, 587 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, 289, 949, 587 i.e 1.
3. How can I use the GCD of 272, 289, 949, 587Calculator?
Out the numbers 272, 289, 949, 587 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.