GCD of 415, 221, 21, 131 Calculator

Given Input numbers are 415, 221, 21, 131

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 415, 221, 21, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 221, 21, 131 is 1.

Therefore, GCD of numbers 415, 221, 21, 131 is 1

Given Input Data is 415, 221, 21, 131

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 221 is 13 x 17

Prime Factorization of 21 is 3 x 7

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(415, 221) = 91715

GCD(415, 221) = ( 415 x 221 ) / 91715

GCD(415, 221) = 91715 / 91715

GCD(415, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 415, 221, 21, 131 is 1

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• GCD of 488, 560, 43, 735
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• GCD of 393, 213, 52, 737

1. What is the GCD of 415, 221, 21, 131?

GCD of 415, 221, 21, 131 is 1

2. Where do I get the detailed procedure to find GCD of 415, 221, 21, 131?

You can find a detailed procedure to find GCD of 415, 221, 21, 131 on our page.

3. How to find GCD of 415, 221, 21, 131 on a calculator?

You can find the GCD of 415, 221, 21, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.