GCD of 231, 560, 344, 891 Calculator

Given Input numbers are 231, 560, 344, 891

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 231, 560, 344, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 560, 344, 891 is 1.

Therefore, GCD of numbers 231, 560, 344, 891 is 1

Given Input Data is 231, 560, 344, 891

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 891 is 3 x 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(231, 560) = 18480

GCD(231, 560) = ( 231 x 560 ) / 18480

GCD(231, 560) = 129360 / 18480

GCD(231, 560) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 344

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

LCM(7, 344) = 2408

GCD(7, 344) = ( 7 x 344 ) / 2408

GCD(7, 344) = 2408 / 2408

GCD(7, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 231, 560, 344, 891 is 1

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1. What is the GCD of 231, 560, 344, 891?

GCD of 231, 560, 344, 891 is 1

2. Where do I get the detailed procedure to find GCD of 231, 560, 344, 891?

You can find a detailed procedure to find GCD of 231, 560, 344, 891 on our page.

3. How to find GCD of 231, 560, 344, 891 on a calculator?

You can find the GCD of 231, 560, 344, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.