Online GCD Calculator is useful to find the GCD of 530, 268, 380, 304 quickly. Get the easiest ways to solve the greatest common divisor of 530, 268, 380, 304 i.e 2 in different methods as follows.
Given Input numbers are 530, 268, 380, 304
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
GCD of numbers is the greatest common divisor
So, the GCD (530, 268, 380, 304) = 2.
Given numbers are 530, 268, 380, 304
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 268 are 2 x 2 x 67
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 530, 268, 380, 304 is 2.
Given numbers are 530, 268, 380, 304
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 268) = 71020
GCD(530, 268) = ( 530 x 268 ) / 71020
= 530 / 268
= 530
Step2:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
Step3:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
So, Greatest Common Divisor of 530, 268, 380, 304 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 268, 380, 304
The greatest common divisor of numbers 530, 268, 380, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 268, 380, 304 is 2.
1. What is the GCD of 530, 268, 380, 304?
GCD of given numbers 530, 268, 380, 304 is 2
2. How to calculate the greatest common divisor of 530, 268, 380, 304?
We can find the highest common divisor of 530, 268, 380, 304 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 530, 268, 380, 304 i.e 2.
3. How can I use the GCD of 530, 268, 380, 304Calculator?
Out the numbers 530, 268, 380, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.