Online GCD Calculator is useful to find the GCD of 584, 506, 231, 249 quickly. Get the easiest ways to solve the greatest common divisor of 584, 506, 231, 249 i.e 1 in different methods as follows.
Given Input numbers are 584, 506, 231, 249
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (584, 506, 231, 249) = 1.
Given numbers are 584, 506, 231, 249
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 506 are 2 x 11 x 23
Prime factors of 231 are 3 x 7 x 11
Prime factors of 249 are 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 506, 231, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 506) = 147752
GCD(584, 506) = ( 584 x 506 ) / 147752
= 584 / 506
= 584
Step2:
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
= 2 / 231
= 2
Step3:
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
= 1 / 249
= 1
So, Greatest Common Divisor of 584, 506, 231, 249 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 506, 231, 249
The greatest common divisor of numbers 584, 506, 231, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 506, 231, 249 is 1.
1. What is the GCD of 584, 506, 231, 249?
GCD of given numbers 584, 506, 231, 249 is 1
2. How to calculate the greatest common divisor of 584, 506, 231, 249?
We can find the highest common divisor of 584, 506, 231, 249 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 584, 506, 231, 249 i.e 1.
3. How can I use the GCD of 584, 506, 231, 249Calculator?
Out the numbers 584, 506, 231, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.