Online GCD Calculator is useful to find the GCD of 570, 558, 438, 726 quickly. Get the easiest ways to solve the greatest common divisor of 570, 558, 438, 726 i.e 6 in different methods as follows.
Given Input numbers are 570, 558, 438, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (570, 558, 438, 726) = 6.
Given numbers are 570, 558, 438, 726
The list of prime factors of all numbers are
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 438 are 2 x 3 x 73
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 570, 558, 438, 726 is 6.
Given numbers are 570, 558, 438, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(570, 558) = 53010
GCD(570, 558) = ( 570 x 558 ) / 53010
= 570 / 558
= 570
Step2:
LCM(6, 438) = 438
GCD(6, 438) = ( 6 x 438 ) / 438
= 6 / 438
= 6
Step3:
LCM(6, 726) = 726
GCD(6, 726) = ( 6 x 726 ) / 726
= 6 / 726
= 6
So, Greatest Common Divisor of 570, 558, 438, 726 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 570, 558, 438, 726
The greatest common divisor of numbers 570, 558, 438, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 558, 438, 726 is 6.
1. What is the GCD of 570, 558, 438, 726?
GCD of given numbers 570, 558, 438, 726 is 6
2. How to calculate the greatest common divisor of 570, 558, 438, 726?
We can find the highest common divisor of 570, 558, 438, 726 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 570, 558, 438, 726 i.e 6.
3. How can I use the GCD of 570, 558, 438, 726Calculator?
Out the numbers 570, 558, 438, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.