GCD of 380, 530, 870 Calculator

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.

• GCD of 551, 343, 597
• GCD of 893, 356, 894
• GCD of 360, 746, 981
• GCD of 221, 828, 118
• GCD of 809, 285, 646

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.