Online GCD Calculator is useful to find the GCD of 530, 168, 416, 320 quickly. Get the easiest ways to solve the greatest common divisor of 530, 168, 416, 320 i.e 2 in different methods as follows.
Given Input numbers are 530, 168, 416, 320
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (530, 168, 416, 320) = 2.
Given numbers are 530, 168, 416, 320
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 530, 168, 416, 320 is 2.
Given numbers are 530, 168, 416, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 168) = 44520
GCD(530, 168) = ( 530 x 168 ) / 44520
= 530 / 168
= 530
Step2:
LCM(2, 416) = 416
GCD(2, 416) = ( 2 x 416 ) / 416
= 2 / 416
= 2
Step3:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
So, Greatest Common Divisor of 530, 168, 416, 320 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 168, 416, 320
The greatest common divisor of numbers 530, 168, 416, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 168, 416, 320 is 2.
1. What is the GCD of 530, 168, 416, 320?
GCD of given numbers 530, 168, 416, 320 is 2
2. How to calculate the greatest common divisor of 530, 168, 416, 320?
We can find the highest common divisor of 530, 168, 416, 320 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, 168, 416, 320 i.e 2.
3. How can I use the GCD of 530, 168, 416, 320Calculator?
Out the numbers 530, 168, 416, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.