GCD of 657, 936, 391, 466 Calculator

Given Input numbers are 657, 936, 391, 466

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 657, 936, 391, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 936, 391, 466 is 1.

Therefore, GCD of numbers 657, 936, 391, 466 is 1

Given Input Data is 657, 936, 391, 466

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 391 is 17 x 23

Prime Factorization of 466 is 2 x 233

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(657, 936) = 68328

GCD(657, 936) = ( 657 x 936 ) / 68328

GCD(657, 936) = 614952 / 68328

GCD(657, 936) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 391

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

LCM(9, 391) = 3519

GCD(9, 391) = ( 9 x 391 ) / 3519

GCD(9, 391) = 3519 / 3519

GCD(9, 391) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 657, 936, 391, 466 is 1

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1. What is the GCD of 657, 936, 391, 466?

GCD of 657, 936, 391, 466 is 1

2. Where do I get the detailed procedure to find GCD of 657, 936, 391, 466?

You can find a detailed procedure to find GCD of 657, 936, 391, 466 on our page.

3. How to find GCD of 657, 936, 391, 466 on a calculator?

You can find the GCD of 657, 936, 391, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.