GCD of 454, 149, 249 Calculator

Given Input numbers are 454, 149, 249

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 454, 149, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 149, 249 is 1.

Therefore, GCD of numbers 454, 149, 249 is 1

Given Input Data is 454, 149, 249

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 149 is 149

Prime Factorization of 249 is 3 x 83

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(454, 149) = 67646

GCD(454, 149) = ( 454 x 149 ) / 67646

GCD(454, 149) = 67646 / 67646

GCD(454, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 454, 149, 249 is 1

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1. What is the GCD of 454, 149, 249?

GCD of 454, 149, 249 is 1

2. Where do I get the detailed procedure to find GCD of 454, 149, 249?

You can find a detailed procedure to find GCD of 454, 149, 249 on our page.

3. How to find GCD of 454, 149, 249 on a calculator?

You can find the GCD of 454, 149, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.