GCD of 870, 380, 17, 667 Calculator

Given Input numbers are 870, 380, 17, 667

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 870, 380, 17, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 380, 17, 667 is 1.

Therefore, GCD of numbers 870, 380, 17, 667 is 1

Given Input Data is 870, 380, 17, 667

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 17 is 17

Prime Factorization of 667 is 23 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(870, 380) = 33060

GCD(870, 380) = ( 870 x 380 ) / 33060

GCD(870, 380) = 330600 / 33060

GCD(870, 380) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 17

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

LCM(10, 17) = 170

GCD(10, 17) = ( 10 x 17 ) / 170

GCD(10, 17) = 170 / 170

GCD(10, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 870, 380, 17, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 662, 85, 644
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• GCD of 544, 647, 25, 670

1. What is the GCD of 870, 380, 17, 667?

GCD of 870, 380, 17, 667 is 1

2. Where do I get the detailed procedure to find GCD of 870, 380, 17, 667?

You can find a detailed procedure to find GCD of 870, 380, 17, 667 on our page.

3. How to find GCD of 870, 380, 17, 667 on a calculator?

You can find the GCD of 870, 380, 17, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.