Online GCD Calculator is useful to find the GCD of 584, 912, 139, 509 quickly. Get the easiest ways to solve the greatest common divisor of 584, 912, 139, 509 i.e 1 in different methods as follows.
Given Input numbers are 584, 912, 139, 509
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 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
GCD of numbers is the greatest common divisor
So, the GCD (584, 912, 139, 509) = 1.
Given numbers are 584, 912, 139, 509
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 139 are 139
Prime factors of 509 are 509
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 912, 139, 509
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 912) = 66576
GCD(584, 912) = ( 584 x 912 ) / 66576
= 584 / 912
= 584
Step2:
LCM(8, 139) = 1112
GCD(8, 139) = ( 8 x 139 ) / 1112
= 8 / 139
= 8
Step3:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
So, Greatest Common Divisor of 584, 912, 139, 509 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 912, 139, 509
The greatest common divisor of numbers 584, 912, 139, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 912, 139, 509 is 1.
1. What is the GCD of 584, 912, 139, 509?
GCD of given numbers 584, 912, 139, 509 is 1
2. How to calculate the greatest common divisor of 584, 912, 139, 509?
We can find the highest common divisor of 584, 912, 139, 509 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, 912, 139, 509 i.e 1.
3. How can I use the GCD of 584, 912, 139, 509Calculator?
Out the numbers 584, 912, 139, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.