GCD of 455, 103, 208, 431 Calculator

Given Input numbers are 455, 103, 208, 431

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 455, 103, 208, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 103, 208, 431 is 1.

Therefore, GCD of numbers 455, 103, 208, 431 is 1

Given Input Data is 455, 103, 208, 431

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 103 is 103

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 431 is 431

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(455, 103) = 46865

GCD(455, 103) = ( 455 x 103 ) / 46865

GCD(455, 103) = 46865 / 46865

GCD(455, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 455, 103, 208, 431 is 1

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1. What is the GCD of 455, 103, 208, 431?

GCD of 455, 103, 208, 431 is 1

2. Where do I get the detailed procedure to find GCD of 455, 103, 208, 431?

You can find a detailed procedure to find GCD of 455, 103, 208, 431 on our page.

3. How to find GCD of 455, 103, 208, 431 on a calculator?

You can find the GCD of 455, 103, 208, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.