GCD of 407, 460, 48, 261 Calculator

Given Input numbers are 407, 460, 48, 261

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 407, 460, 48, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 460, 48, 261 is 1.

Therefore, GCD of numbers 407, 460, 48, 261 is 1

Given Input Data is 407, 460, 48, 261

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 261 is 3 x 3 x 29

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(407, 460) = 187220

GCD(407, 460) = ( 407 x 460 ) / 187220

GCD(407, 460) = 187220 / 187220

GCD(407, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 407, 460, 48, 261 is 1

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• GCD of 570, 700, 60, 390
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1. What is the GCD of 407, 460, 48, 261?

GCD of 407, 460, 48, 261 is 1

2. Where do I get the detailed procedure to find GCD of 407, 460, 48, 261?

You can find a detailed procedure to find GCD of 407, 460, 48, 261 on our page.

3. How to find GCD of 407, 460, 48, 261 on a calculator?

You can find the GCD of 407, 460, 48, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.