GCD of 406, 109, 703, 477 Calculator

Given Input numbers are 406, 109, 703, 477

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 406, 109, 703, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 109, 703, 477 is 1.

Therefore, GCD of numbers 406, 109, 703, 477 is 1

Given Input Data is 406, 109, 703, 477

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 109 is 109

Prime Factorization of 703 is 19 x 37

Prime Factorization of 477 is 3 x 3 x 53

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(406, 109) = 44254

GCD(406, 109) = ( 406 x 109 ) / 44254

GCD(406, 109) = 44254 / 44254

GCD(406, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 406, 109, 703, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 564, 414, 100
• GCD of 552, 165, 761, 482
• GCD of 623, 256, 491, 270
• GCD of 445, 908, 348, 920
• GCD of 765, 573, 358, 941

1. What is the GCD of 406, 109, 703, 477?

GCD of 406, 109, 703, 477 is 1

2. Where do I get the detailed procedure to find GCD of 406, 109, 703, 477?

You can find a detailed procedure to find GCD of 406, 109, 703, 477 on our page.

3. How to find GCD of 406, 109, 703, 477 on a calculator?

You can find the GCD of 406, 109, 703, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.