GCD of 842, 709, 221 Calculator

Given Input numbers are 842, 709, 221

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

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 842, 709, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 709, 221 is 1.

Therefore, GCD of numbers 842, 709, 221 is 1

Given Input Data is 842, 709, 221

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 709 is 709

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(842, 709) = 596978

GCD(842, 709) = ( 842 x 709 ) / 596978

GCD(842, 709) = 596978 / 596978

GCD(842, 709) = 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 842, 709, 221 is 1

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1. What is the GCD of 842, 709, 221?

GCD of 842, 709, 221 is 1

2. Where do I get the detailed procedure to find GCD of 842, 709, 221?

You can find a detailed procedure to find GCD of 842, 709, 221 on our page.

3. How to find GCD of 842, 709, 221 on a calculator?

You can find the GCD of 842, 709, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.