GCD of 409, 461, 45, 613 Calculator

Given Input numbers are 409, 461, 45, 613

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 409, 461, 45, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 461, 45, 613 is 1.

Therefore, GCD of numbers 409, 461, 45, 613 is 1

Given Input Data is 409, 461, 45, 613

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

Prime Factorization of 409 is 409

Prime Factorization of 461 is 461

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 613 is 613

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, 461) = 188549

GCD(409, 461) = ( 409 x 461 ) / 188549

GCD(409, 461) = 188549 / 188549

GCD(409, 461) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 409, 461, 45, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 137, 34, 106
• GCD of 853, 973, 48, 795
• GCD of 672, 528, 93, 310
• GCD of 331, 134, 41, 834
• GCD of 854, 610, 45, 582

1. What is the GCD of 409, 461, 45, 613?

GCD of 409, 461, 45, 613 is 1

2. Where do I get the detailed procedure to find GCD of 409, 461, 45, 613?

You can find a detailed procedure to find GCD of 409, 461, 45, 613 on our page.

3. How to find GCD of 409, 461, 45, 613 on a calculator?

You can find the GCD of 409, 461, 45, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.