Online GCD Calculator is useful to find the GCD of 380, 530, 870 quickly. Get the easiest ways to solve the greatest common divisor of 380, 530, 870 i.e 10 in different methods as follows.
Given Input numbers are 380, 530, 870
In the factoring method, we have to find the divisors of all numbers
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 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (380, 530, 870) = 10.
Given numbers are 380, 530, 870
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 530 are 2 x 5 x 53
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21 x 51
Therefore, GCD of 380, 530, 870 is 10.
Given numbers are 380, 530, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 530) = 20140
GCD(380, 530) = ( 380 x 530 ) / 20140
= 380 / 530
= 380
Step2:
LCM(10, 870) = 870
GCD(10, 870) = ( 10 x 870 ) / 870
= 10 / 870
= 10
So, Greatest Common Divisor of 380, 530, 870 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 530, 870
The greatest common divisor of numbers 380, 530, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 530, 870 is 10.
1. What is the GCD of 380, 530, 870?
GCD of given numbers 380, 530, 870 is 10
2. How to calculate the greatest common divisor of 380, 530, 870?
We can find the highest common divisor of 380, 530, 870 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 380, 530, 870 i.e 10.
3. How can I use the GCD of 380, 530, 870Calculator?
Out the numbers 380, 530, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.