Online GCD Calculator is useful to find the GCD of 584, 675, 722, 718 quickly. Get the easiest ways to solve the greatest common divisor of 584, 675, 722, 718 i.e 1 in different methods as follows.
Given Input numbers are 584, 675, 722, 718
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (584, 675, 722, 718) = 1.
Given numbers are 584, 675, 722, 718
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 722 are 2 x 19 x 19
Prime factors of 718 are 2 x 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 584, 675, 722, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 675) = 394200
GCD(584, 675) = ( 584 x 675 ) / 394200
= 584 / 675
= 584
Step2:
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
= 1 / 722
= 1
Step3:
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
= 1 / 718
= 1
So, Greatest Common Divisor of 584, 675, 722, 718 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 675, 722, 718
The greatest common divisor of numbers 584, 675, 722, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 675, 722, 718 is 1.
1. What is the GCD of 584, 675, 722, 718?
GCD of given numbers 584, 675, 722, 718 is 1
2. How to calculate the greatest common divisor of 584, 675, 722, 718?
We can find the highest common divisor of 584, 675, 722, 718 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, 675, 722, 718 i.e 1.
3. How can I use the GCD of 584, 675, 722, 718Calculator?
Out the numbers 584, 675, 722, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.