GCD of 870, 166, 295, 894 Calculator

Given Input numbers are 870, 166, 295, 894

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 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 870, 166, 295, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 166, 295, 894 is 1.

Therefore, GCD of numbers 870, 166, 295, 894 is 1

Given Input Data is 870, 166, 295, 894

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 166 is 2 x 83

Prime Factorization of 295 is 5 x 59

Prime Factorization of 894 is 2 x 3 x 149

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, 166) = 72210

GCD(870, 166) = ( 870 x 166 ) / 72210

GCD(870, 166) = 144420 / 72210

GCD(870, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 295

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

LCM(2, 295) = 590

GCD(2, 295) = ( 2 x 295 ) / 590

GCD(2, 295) = 590 / 590

GCD(2, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 870, 166, 295, 894 is 1

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1. What is the GCD of 870, 166, 295, 894?

GCD of 870, 166, 295, 894 is 1

2. Where do I get the detailed procedure to find GCD of 870, 166, 295, 894?

You can find a detailed procedure to find GCD of 870, 166, 295, 894 on our page.

3. How to find GCD of 870, 166, 295, 894 on a calculator?

You can find the GCD of 870, 166, 295, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.