GCD of 248, 205, 142, 224 Calculator

Given Input numbers are 248, 205, 142, 224

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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

Greatest Common Divisior

We found the divisors of 248, 205, 142, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 205, 142, 224 is 1.

Therefore, GCD of numbers 248, 205, 142, 224 is 1

Given Input Data is 248, 205, 142, 224

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 205 is 5 x 41

Prime Factorization of 142 is 2 x 71

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

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(248, 205) = 50840

GCD(248, 205) = ( 248 x 205 ) / 50840

GCD(248, 205) = 50840 / 50840

GCD(248, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 248, 205, 142, 224 is 1

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1. What is the GCD of 248, 205, 142, 224?

GCD of 248, 205, 142, 224 is 1

2. Where do I get the detailed procedure to find GCD of 248, 205, 142, 224?

You can find a detailed procedure to find GCD of 248, 205, 142, 224 on our page.

3. How to find GCD of 248, 205, 142, 224 on a calculator?

You can find the GCD of 248, 205, 142, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.