GCD of 870, 580, 440 Calculator

Given Input numbers are 870, 580, 440

In the factoring method, we have to find the divisors of all numbers

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (870, 580, 440) = 10.

Given numbers are 870, 580, 440

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 870, 580, 440 is 10.

Given numbers are 870, 580, 440

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(870, 580) = 1740

GCD(870, 580) = ( 870 x 580 ) / 1740

= 870 / 580

= 870

Step2:

LCM(290, 440) = 12760

GCD(290, 440) = ( 290 x 440 ) / 12760

= 290 / 440

= 290

So, Greatest Common Divisor of 870, 580, 440 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 109, 434
• GCD of 157, 151, 179
• GCD of 527, 538, 913
• GCD of 143, 777, 184
• GCD of 109, 157, 995

Given numbers are 870, 580, 440
The greatest common divisor of numbers 870, 580, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 580, 440 is 10.

1. What is the GCD of 870, 580, 440?

GCD of given numbers 870, 580, 440 is 10

2. How to calculate the greatest common divisor of 870, 580, 440?

We can find the highest common divisor of 870, 580, 440 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 870, 580, 440 i.e 10.

3. How can I use the GCD of 870, 580, 440Calculator?

Out the numbers 870, 580, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.