Online GCD Calculator is useful to find the GCD of 582, 936, 570, 267 quickly. Get the easiest ways to solve the greatest common divisor of 582, 936, 570, 267 i.e 3 in different methods as follows.
Given Input numbers are 582, 936, 570, 267
In the factoring method, we have to find the divisors of all numbers
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (582, 936, 570, 267) = 3.
Given numbers are 582, 936, 570, 267
The list of prime factors of all numbers are
Prime factors of 582 are 2 x 3 x 97
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 267 are 3 x 89
The highest common occurrence is 31
Therefore, GCD of 582, 936, 570, 267 is 3.
Given numbers are 582, 936, 570, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(582, 936) = 90792
GCD(582, 936) = ( 582 x 936 ) / 90792
= 582 / 936
= 582
Step2:
LCM(6, 570) = 570
GCD(6, 570) = ( 6 x 570 ) / 570
= 6 / 570
= 6
Step3:
LCM(6, 267) = 534
GCD(6, 267) = ( 6 x 267 ) / 534
= 6 / 267
= 6
So, Greatest Common Divisor of 582, 936, 570, 267 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 582, 936, 570, 267
The greatest common divisor of numbers 582, 936, 570, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 582, 936, 570, 267 is 3.
1. What is the GCD of 582, 936, 570, 267?
GCD of given numbers 582, 936, 570, 267 is 3
2. How to calculate the greatest common divisor of 582, 936, 570, 267?
We can find the highest common divisor of 582, 936, 570, 267 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 582, 936, 570, 267 i.e 3.
3. How can I use the GCD of 582, 936, 570, 267Calculator?
Out the numbers 582, 936, 570, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.