GCD of 870, 645, 206 Calculator

Given Input numbers are 870, 645, 206

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 870, 645, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 645, 206 is 1.

Therefore, GCD of numbers 870, 645, 206 is 1

Given Input Data is 870, 645, 206

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 645 is 3 x 5 x 43

Prime Factorization of 206 is 2 x 103

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, 645) = 37410

GCD(870, 645) = ( 870 x 645 ) / 37410

GCD(870, 645) = 561150 / 37410

GCD(870, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 206

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

LCM(15, 206) = 3090

GCD(15, 206) = ( 15 x 206 ) / 3090

GCD(15, 206) = 3090 / 3090

GCD(15, 206) = 1

GCD of 870, 645, 206 is 1

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1. What is the GCD of 870, 645, 206?

GCD of 870, 645, 206 is 1

2. Where do I get the detailed procedure to find GCD of 870, 645, 206?

You can find a detailed procedure to find GCD of 870, 645, 206 on our page.

3. How to find GCD of 870, 645, 206 on a calculator?

You can find the GCD of 870, 645, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.