GCD of 861, 846, 91, 243 Calculator

Given Input numbers are 861, 846, 91, 243

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 861, 846, 91, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 846, 91, 243 is 1.

Therefore, GCD of numbers 861, 846, 91, 243 is 1

Given Input Data is 861, 846, 91, 243

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 91 is 7 x 13

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(861, 846) = 242802

GCD(861, 846) = ( 861 x 846 ) / 242802

GCD(861, 846) = 728406 / 242802

GCD(861, 846) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 91

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

LCM(3, 91) = 273

GCD(3, 91) = ( 3 x 91 ) / 273

GCD(3, 91) = 273 / 273

GCD(3, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 861, 846, 91, 243 is 1

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1. What is the GCD of 861, 846, 91, 243?

GCD of 861, 846, 91, 243 is 1

2. Where do I get the detailed procedure to find GCD of 861, 846, 91, 243?

You can find a detailed procedure to find GCD of 861, 846, 91, 243 on our page.

3. How to find GCD of 861, 846, 91, 243 on a calculator?

You can find the GCD of 861, 846, 91, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.