GCD of 283, 657, 469, 921 Calculator

Given Input numbers are 283, 657, 469, 921

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 283, 657, 469, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 657, 469, 921 is 1.

Therefore, GCD of numbers 283, 657, 469, 921 is 1

Given Input Data is 283, 657, 469, 921

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

Prime Factorization of 283 is 283

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 469 is 7 x 67

Prime Factorization of 921 is 3 x 307

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(283, 657) = 185931

GCD(283, 657) = ( 283 x 657 ) / 185931

GCD(283, 657) = 185931 / 185931

GCD(283, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 283, 657, 469, 921 is 1

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1. What is the GCD of 283, 657, 469, 921?

GCD of 283, 657, 469, 921 is 1

2. Where do I get the detailed procedure to find GCD of 283, 657, 469, 921?

You can find a detailed procedure to find GCD of 283, 657, 469, 921 on our page.

3. How to find GCD of 283, 657, 469, 921 on a calculator?

You can find the GCD of 283, 657, 469, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.