Online GCD Calculator is useful to find the GCD of 558, 300, 530, 680 quickly. Get the easiest ways to solve the greatest common divisor of 558, 300, 530, 680 i.e 2 in different methods as follows.
Given Input numbers are 558, 300, 530, 680
In the factoring method, we have to find the divisors of all numbers
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 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (558, 300, 530, 680) = 2.
Given numbers are 558, 300, 530, 680
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 530 are 2 x 5 x 53
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 558, 300, 530, 680 is 2.
Given numbers are 558, 300, 530, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 300) = 27900
GCD(558, 300) = ( 558 x 300 ) / 27900
= 558 / 300
= 558
Step2:
LCM(6, 530) = 1590
GCD(6, 530) = ( 6 x 530 ) / 1590
= 6 / 530
= 6
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 558, 300, 530, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 300, 530, 680
The greatest common divisor of numbers 558, 300, 530, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 300, 530, 680 is 2.
1. What is the GCD of 558, 300, 530, 680?
GCD of given numbers 558, 300, 530, 680 is 2
2. How to calculate the greatest common divisor of 558, 300, 530, 680?
We can find the highest common divisor of 558, 300, 530, 680 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 558, 300, 530, 680 i.e 2.
3. How can I use the GCD of 558, 300, 530, 680Calculator?
Out the numbers 558, 300, 530, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.