GCD of 409, 751, 475, 138 Calculator

Given Input numbers are 409, 751, 475, 138

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 409, 751, 475, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 751, 475, 138 is 1.

Therefore, GCD of numbers 409, 751, 475, 138 is 1

Given Input Data is 409, 751, 475, 138

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

Prime Factorization of 409 is 409

Prime Factorization of 751 is 751

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 138 is 2 x 3 x 23

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(409, 751) = 307159

GCD(409, 751) = ( 409 x 751 ) / 307159

GCD(409, 751) = 307159 / 307159

GCD(409, 751) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 409, 751, 475, 138 is 1

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1. What is the GCD of 409, 751, 475, 138?

GCD of 409, 751, 475, 138 is 1

2. Where do I get the detailed procedure to find GCD of 409, 751, 475, 138?

You can find a detailed procedure to find GCD of 409, 751, 475, 138 on our page.

3. How to find GCD of 409, 751, 475, 138 on a calculator?

You can find the GCD of 409, 751, 475, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.