GCD of 891, 242, 176, 437 Calculator

Given Input numbers are 891, 242, 176, 437

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

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 891, 242, 176, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 242, 176, 437 is 1.

Therefore, GCD of numbers 891, 242, 176, 437 is 1

Given Input Data is 891, 242, 176, 437

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 437 is 19 x 23

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(891, 242) = 19602

GCD(891, 242) = ( 891 x 242 ) / 19602

GCD(891, 242) = 215622 / 19602

GCD(891, 242) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 176

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

LCM(11, 176) = 176

GCD(11, 176) = ( 11 x 176 ) / 176

GCD(11, 176) = 1936 / 176

GCD(11, 176) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 437

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

LCM(11, 437) = 4807

GCD(11, 437) = ( 11 x 437 ) / 4807

GCD(11, 437) = 4807 / 4807

GCD(11, 437) = 1

GCD of 891, 242, 176, 437 is 1

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1. What is the GCD of 891, 242, 176, 437?

GCD of 891, 242, 176, 437 is 1

2. Where do I get the detailed procedure to find GCD of 891, 242, 176, 437?

You can find a detailed procedure to find GCD of 891, 242, 176, 437 on our page.

3. How to find GCD of 891, 242, 176, 437 on a calculator?

You can find the GCD of 891, 242, 176, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.