GCD of 221, 942, 17, 469 Calculator

Given Input numbers are 221, 942, 17, 469

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 221, 942, 17, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 942, 17, 469 is 1.

Therefore, GCD of numbers 221, 942, 17, 469 is 1

Given Input Data is 221, 942, 17, 469

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 17 is 17

Prime Factorization of 469 is 7 x 67

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(221, 942) = 208182

GCD(221, 942) = ( 221 x 942 ) / 208182

GCD(221, 942) = 208182 / 208182

GCD(221, 942) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 221, 942, 17, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 218, 47, 988
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• GCD of 637, 105, 13, 629
• GCD of 411, 318, 31, 210

1. What is the GCD of 221, 942, 17, 469?

GCD of 221, 942, 17, 469 is 1

2. Where do I get the detailed procedure to find GCD of 221, 942, 17, 469?

You can find a detailed procedure to find GCD of 221, 942, 17, 469 on our page.

3. How to find GCD of 221, 942, 17, 469 on a calculator?

You can find the GCD of 221, 942, 17, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.