GCD of 461, 384, 254, 175 Calculator

Given Input numbers are 461, 384, 254, 175

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 461, 384, 254, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 384, 254, 175 is 1.

Therefore, GCD of numbers 461, 384, 254, 175 is 1

Given Input Data is 461, 384, 254, 175

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

Prime Factorization of 461 is 461

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 254 is 2 x 127

Prime Factorization of 175 is 5 x 5 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(461, 384) = 177024

GCD(461, 384) = ( 461 x 384 ) / 177024

GCD(461, 384) = 177024 / 177024

GCD(461, 384) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 461, 384, 254, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 604, 272, 319
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• GCD of 807, 560, 673, 877

1. What is the GCD of 461, 384, 254, 175?

GCD of 461, 384, 254, 175 is 1

2. Where do I get the detailed procedure to find GCD of 461, 384, 254, 175?

You can find a detailed procedure to find GCD of 461, 384, 254, 175 on our page.

3. How to find GCD of 461, 384, 254, 175 on a calculator?

You can find the GCD of 461, 384, 254, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.