GCD of 345, 421, 221 Calculator

Given Input numbers are 345, 421, 221

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 221

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

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 345, 421, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 421, 221 is 1.

Therefore, GCD of numbers 345, 421, 221 is 1

Given Input Data is 345, 421, 221

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 421 is 421

Prime Factorization of 221 is 13 x 17

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(345, 421) = 145245

GCD(345, 421) = ( 345 x 421 ) / 145245

GCD(345, 421) = 145245 / 145245

GCD(345, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 345, 421, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 113, 544
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• GCD of 281, 940, 125
• GCD of 644, 862, 828
• GCD of 627, 691, 512

1. What is the GCD of 345, 421, 221?

GCD of 345, 421, 221 is 1

2. Where do I get the detailed procedure to find GCD of 345, 421, 221?

You can find a detailed procedure to find GCD of 345, 421, 221 on our page.

3. How to find GCD of 345, 421, 221 on a calculator?

You can find the GCD of 345, 421, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.