Online GCD Calculator is useful to find the GCD of 530, 210, 380 quickly. Get the easiest ways to solve the greatest common divisor of 530, 210, 380 i.e 10 in different methods as follows.
Given Input numbers are 530, 210, 380
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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
GCD of numbers is the greatest common divisor
So, the GCD (530, 210, 380) = 10.
Given numbers are 530, 210, 380
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21 x 51
Therefore, GCD of 530, 210, 380 is 10.
Given numbers are 530, 210, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 210) = 11130
GCD(530, 210) = ( 530 x 210 ) / 11130
= 530 / 210
= 530
Step2:
LCM(10, 380) = 380
GCD(10, 380) = ( 10 x 380 ) / 380
= 10 / 380
= 10
So, Greatest Common Divisor of 530, 210, 380 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 210, 380
The greatest common divisor of numbers 530, 210, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 210, 380 is 10.
1. What is the GCD of 530, 210, 380?
GCD of given numbers 530, 210, 380 is 10
2. How to calculate the greatest common divisor of 530, 210, 380?
We can find the highest common divisor of 530, 210, 380 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, 210, 380 i.e 10.
3. How can I use the GCD of 530, 210, 380Calculator?
Out the numbers 530, 210, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.