GCD of 112, 171, 154, 221 Calculator

Given Input numbers are 112, 171, 154, 221

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 112, 171, 154, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 171, 154, 221 is 1.

Therefore, GCD of numbers 112, 171, 154, 221 is 1

Given Input Data is 112, 171, 154, 221

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 154 is 2 x 7 x 11

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(112, 171) = 19152

GCD(112, 171) = ( 112 x 171 ) / 19152

GCD(112, 171) = 19152 / 19152

GCD(112, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

Step3:

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 112, 171, 154, 221 is 1

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1. What is the GCD of 112, 171, 154, 221?

GCD of 112, 171, 154, 221 is 1

2. Where do I get the detailed procedure to find GCD of 112, 171, 154, 221?

You can find a detailed procedure to find GCD of 112, 171, 154, 221 on our page.

3. How to find GCD of 112, 171, 154, 221 on a calculator?

You can find the GCD of 112, 171, 154, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.