GCD of 853, 209, 521, 961 Calculator

Given Input numbers are 853, 209, 521, 961

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

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 853, 209, 521, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 209, 521, 961 is 1.

Therefore, GCD of numbers 853, 209, 521, 961 is 1

Given Input Data is 853, 209, 521, 961

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

Prime Factorization of 853 is 853

Prime Factorization of 209 is 11 x 19

Prime Factorization of 521 is 521

Prime Factorization of 961 is 31 x 31

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(853, 209) = 178277

GCD(853, 209) = ( 853 x 209 ) / 178277

GCD(853, 209) = 178277 / 178277

GCD(853, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 853, 209, 521, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 245, 240, 911
• GCD of 283, 530, 408, 939
• GCD of 208, 166, 971, 164
• GCD of 135, 262, 355, 375
• GCD of 646, 789, 209, 266

1. What is the GCD of 853, 209, 521, 961?

GCD of 853, 209, 521, 961 is 1

2. Where do I get the detailed procedure to find GCD of 853, 209, 521, 961?

You can find a detailed procedure to find GCD of 853, 209, 521, 961 on our page.

3. How to find GCD of 853, 209, 521, 961 on a calculator?

You can find the GCD of 853, 209, 521, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.