GCD of 861, 657, 416, 441 Calculator

Given Input numbers are 861, 657, 416, 441

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 861, 657, 416, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 657, 416, 441 is 1.

Therefore, GCD of numbers 861, 657, 416, 441 is 1

Given Input Data is 861, 657, 416, 441

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 441 is 3 x 3 x 7 x 7

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(861, 657) = 188559

GCD(861, 657) = ( 861 x 657 ) / 188559

GCD(861, 657) = 565677 / 188559

GCD(861, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 416

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

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

GCD(3, 416) = 1248 / 1248

GCD(3, 416) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 861, 657, 416, 441 is 1

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1. What is the GCD of 861, 657, 416, 441?

GCD of 861, 657, 416, 441 is 1

2. Where do I get the detailed procedure to find GCD of 861, 657, 416, 441?

You can find a detailed procedure to find GCD of 861, 657, 416, 441 on our page.

3. How to find GCD of 861, 657, 416, 441 on a calculator?

You can find the GCD of 861, 657, 416, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.