GCD of 61, 224, 181, 108 Calculator

Given Input numbers are 61, 224, 181, 108

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 61, 224, 181, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 224, 181, 108 is 1.

Therefore, GCD of numbers 61, 224, 181, 108 is 1

Given Input Data is 61, 224, 181, 108

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

Prime Factorization of 61 is 61

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 181 is 181

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(61, 224) = 13664

GCD(61, 224) = ( 61 x 224 ) / 13664

GCD(61, 224) = 13664 / 13664

GCD(61, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 61, 224, 181, 108 is 1

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1. What is the GCD of 61, 224, 181, 108?

GCD of 61, 224, 181, 108 is 1

2. Where do I get the detailed procedure to find GCD of 61, 224, 181, 108?

You can find a detailed procedure to find GCD of 61, 224, 181, 108 on our page.

3. How to find GCD of 61, 224, 181, 108 on a calculator?

You can find the GCD of 61, 224, 181, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.