GCD of 409, 151, 49, 385 Calculator

Given Input numbers are 409, 151, 49, 385

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 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 409, 151, 49, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 151, 49, 385 is 1.

Therefore, GCD of numbers 409, 151, 49, 385 is 1

Given Input Data is 409, 151, 49, 385

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

Prime Factorization of 409 is 409

Prime Factorization of 151 is 151

Prime Factorization of 49 is 7 x 7

Prime Factorization of 385 is 5 x 7 x 11

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, 151) = 61759

GCD(409, 151) = ( 409 x 151 ) / 61759

GCD(409, 151) = 61759 / 61759

GCD(409, 151) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 409, 151, 49, 385 is 1

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1. What is the GCD of 409, 151, 49, 385?

GCD of 409, 151, 49, 385 is 1

2. Where do I get the detailed procedure to find GCD of 409, 151, 49, 385?

You can find a detailed procedure to find GCD of 409, 151, 49, 385 on our page.

3. How to find GCD of 409, 151, 49, 385 on a calculator?

You can find the GCD of 409, 151, 49, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.