GCD of 108, 175, 870, 286 Calculator

Given Input numbers are 108, 175, 870, 286

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 108, 175, 870, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 175, 870, 286 is 1.

Therefore, GCD of numbers 108, 175, 870, 286 is 1

Given Input Data is 108, 175, 870, 286

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 175 is 5 x 5 x 7

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

Prime Factorization of 286 is 2 x 11 x 13

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(108, 175) = 18900

GCD(108, 175) = ( 108 x 175 ) / 18900

GCD(108, 175) = 18900 / 18900

GCD(108, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 108, 175, 870, 286 is 1

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• GCD of 871, 376, 118, 441
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1. What is the GCD of 108, 175, 870, 286?

GCD of 108, 175, 870, 286 is 1

2. Where do I get the detailed procedure to find GCD of 108, 175, 870, 286?

You can find a detailed procedure to find GCD of 108, 175, 870, 286 on our page.

3. How to find GCD of 108, 175, 870, 286 on a calculator?

You can find the GCD of 108, 175, 870, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.