GCD of 406, 398, 763, 131 Calculator

Given Input numbers are 406, 398, 763, 131

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 406, 398, 763, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 398, 763, 131 is 1.

Therefore, GCD of numbers 406, 398, 763, 131 is 1

Given Input Data is 406, 398, 763, 131

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 398 is 2 x 199

Prime Factorization of 763 is 7 x 109

Prime Factorization of 131 is 131

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, 398) = 80794

GCD(406, 398) = ( 406 x 398 ) / 80794

GCD(406, 398) = 161588 / 80794

GCD(406, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 406, 398, 763, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 630, 448, 333
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1. What is the GCD of 406, 398, 763, 131?

GCD of 406, 398, 763, 131 is 1

2. Where do I get the detailed procedure to find GCD of 406, 398, 763, 131?

You can find a detailed procedure to find GCD of 406, 398, 763, 131 on our page.

3. How to find GCD of 406, 398, 763, 131 on a calculator?

You can find the GCD of 406, 398, 763, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.