GCD of 848, 516, 961, 297 Calculator

Given Input numbers are 848, 516, 961, 297

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 961

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

1, 31, 961

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 848, 516, 961, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 516, 961, 297 is 1.

Therefore, GCD of numbers 848, 516, 961, 297 is 1

Given Input Data is 848, 516, 961, 297

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 961 is 31 x 31

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(848, 516) = 109392

GCD(848, 516) = ( 848 x 516 ) / 109392

GCD(848, 516) = 437568 / 109392

GCD(848, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 961

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

LCM(4, 961) = 3844

GCD(4, 961) = ( 4 x 961 ) / 3844

GCD(4, 961) = 3844 / 3844

GCD(4, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 848, 516, 961, 297 is 1

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1. What is the GCD of 848, 516, 961, 297?

GCD of 848, 516, 961, 297 is 1

2. Where do I get the detailed procedure to find GCD of 848, 516, 961, 297?

You can find a detailed procedure to find GCD of 848, 516, 961, 297 on our page.

3. How to find GCD of 848, 516, 961, 297 on a calculator?

You can find the GCD of 848, 516, 961, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.