GCD of 891, 143, 332, 657 Calculator

Given Input numbers are 891, 143, 332, 657

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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 891, 143, 332, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 143, 332, 657 is 1.

Therefore, GCD of numbers 891, 143, 332, 657 is 1

Given Input Data is 891, 143, 332, 657

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 143 is 11 x 13

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 657 is 3 x 3 x 73

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, 143) = 11583

GCD(891, 143) = ( 891 x 143 ) / 11583

GCD(891, 143) = 127413 / 11583

GCD(891, 143) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 332

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

LCM(11, 332) = 3652

GCD(11, 332) = ( 11 x 332 ) / 3652

GCD(11, 332) = 3652 / 3652

GCD(11, 332) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 891, 143, 332, 657 is 1

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1. What is the GCD of 891, 143, 332, 657?

GCD of 891, 143, 332, 657 is 1

2. Where do I get the detailed procedure to find GCD of 891, 143, 332, 657?

You can find a detailed procedure to find GCD of 891, 143, 332, 657 on our page.

3. How to find GCD of 891, 143, 332, 657 on a calculator?

You can find the GCD of 891, 143, 332, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.