Online GCD Calculator is useful to find the GCD of 584, 530, 855, 742 quickly. Get the easiest ways to solve the greatest common divisor of 584, 530, 855, 742 i.e 1 in different methods as follows.
Given Input numbers are 584, 530, 855, 742
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 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (584, 530, 855, 742) = 1.
Given numbers are 584, 530, 855, 742
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 530 are 2 x 5 x 53
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 530, 855, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 530) = 154760
GCD(584, 530) = ( 584 x 530 ) / 154760
= 584 / 530
= 584
Step2:
LCM(2, 855) = 1710
GCD(2, 855) = ( 2 x 855 ) / 1710
= 2 / 855
= 2
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 584, 530, 855, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 530, 855, 742
The greatest common divisor of numbers 584, 530, 855, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 530, 855, 742 is 1.
1. What is the GCD of 584, 530, 855, 742?
GCD of given numbers 584, 530, 855, 742 is 1
2. How to calculate the greatest common divisor of 584, 530, 855, 742?
We can find the highest common divisor of 584, 530, 855, 742 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, 530, 855, 742 i.e 1.
3. How can I use the GCD of 584, 530, 855, 742Calculator?
Out the numbers 584, 530, 855, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.