GCD of 261, 299, 953, 860 Calculator

Given Input numbers are 261, 299, 953, 860

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 261, 299, 953, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 299, 953, 860 is 1.

Therefore, GCD of numbers 261, 299, 953, 860 is 1

Given Input Data is 261, 299, 953, 860

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 299 is 13 x 23

Prime Factorization of 953 is 953

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(261, 299) = 78039

GCD(261, 299) = ( 261 x 299 ) / 78039

GCD(261, 299) = 78039 / 78039

GCD(261, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 261, 299, 953, 860 is 1

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1. What is the GCD of 261, 299, 953, 860?

GCD of 261, 299, 953, 860 is 1

2. Where do I get the detailed procedure to find GCD of 261, 299, 953, 860?

You can find a detailed procedure to find GCD of 261, 299, 953, 860 on our page.

3. How to find GCD of 261, 299, 953, 860 on a calculator?

You can find the GCD of 261, 299, 953, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.