Online GCD Calculator is useful to find the GCD of 486, 660, 428, 570 quickly. Get the easiest ways to solve the greatest common divisor of 486, 660, 428, 570 i.e 2 in different methods as follows.
Given Input numbers are 486, 660, 428, 570
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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
GCD of numbers is the greatest common divisor
So, the GCD (486, 660, 428, 570) = 2.
Given numbers are 486, 660, 428, 570
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 428 are 2 x 2 x 107
Prime factors of 570 are 2 x 3 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 486, 660, 428, 570 is 2.
Given numbers are 486, 660, 428, 570
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 660) = 53460
GCD(486, 660) = ( 486 x 660 ) / 53460
= 486 / 660
= 486
Step2:
LCM(6, 428) = 1284
GCD(6, 428) = ( 6 x 428 ) / 1284
= 6 / 428
= 6
Step3:
LCM(2, 570) = 570
GCD(2, 570) = ( 2 x 570 ) / 570
= 2 / 570
= 2
So, Greatest Common Divisor of 486, 660, 428, 570 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 660, 428, 570
The greatest common divisor of numbers 486, 660, 428, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 660, 428, 570 is 2.
1. What is the GCD of 486, 660, 428, 570?
GCD of given numbers 486, 660, 428, 570 is 2
2. How to calculate the greatest common divisor of 486, 660, 428, 570?
We can find the highest common divisor of 486, 660, 428, 570 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 486, 660, 428, 570 i.e 2.
3. How can I use the GCD of 486, 660, 428, 570Calculator?
Out the numbers 486, 660, 428, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.