GCD of 217, 852, 260 Calculator

Given Input numbers are 217, 852, 260

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 217, 852, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 852, 260 is 1.

Therefore, GCD of numbers 217, 852, 260 is 1

Given Input Data is 217, 852, 260

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 260 is 2 x 2 x 5 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(217, 852) = 184884

GCD(217, 852) = ( 217 x 852 ) / 184884

GCD(217, 852) = 184884 / 184884

GCD(217, 852) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 217, 852, 260 is 1

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1. What is the GCD of 217, 852, 260?

GCD of 217, 852, 260 is 1

2. Where do I get the detailed procedure to find GCD of 217, 852, 260?

You can find a detailed procedure to find GCD of 217, 852, 260 on our page.

3. How to find GCD of 217, 852, 260 on a calculator?

You can find the GCD of 217, 852, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.