GCD of 221, 672, 71, 364 Calculator

Given Input numbers are 221, 672, 71, 364

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 221, 672, 71, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 672, 71, 364 is 1.

Therefore, GCD of numbers 221, 672, 71, 364 is 1

Given Input Data is 221, 672, 71, 364

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 71 is 71

Prime Factorization of 364 is 2 x 2 x 7 x 13

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, 672) = 148512

GCD(221, 672) = ( 221 x 672 ) / 148512

GCD(221, 672) = 148512 / 148512

GCD(221, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 221, 672, 71, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 420, 67, 295
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• GCD of 104, 442, 84, 632
• GCD of 801, 132, 44, 208

1. What is the GCD of 221, 672, 71, 364?

GCD of 221, 672, 71, 364 is 1

2. Where do I get the detailed procedure to find GCD of 221, 672, 71, 364?

You can find a detailed procedure to find GCD of 221, 672, 71, 364 on our page.

3. How to find GCD of 221, 672, 71, 364 on a calculator?

You can find the GCD of 221, 672, 71, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.