GCD of 103, 289, 16, 454 Calculator

Given Input numbers are 103, 289, 16, 454

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

Divisors of 103

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

1, 103

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 454

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

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 103, 289, 16, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 289, 16, 454 is 1.

Therefore, GCD of numbers 103, 289, 16, 454 is 1

Given Input Data is 103, 289, 16, 454

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

Prime Factorization of 103 is 103

Prime Factorization of 289 is 17 x 17

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 454 is 2 x 227

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(103, 289) = 29767

GCD(103, 289) = ( 103 x 289 ) / 29767

GCD(103, 289) = 29767 / 29767

GCD(103, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 103, 289, 16, 454 is 1

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• GCD of 328, 671, 45, 147
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• GCD of 987, 474, 74, 965

1. What is the GCD of 103, 289, 16, 454?

GCD of 103, 289, 16, 454 is 1

2. Where do I get the detailed procedure to find GCD of 103, 289, 16, 454?

You can find a detailed procedure to find GCD of 103, 289, 16, 454 on our page.

3. How to find GCD of 103, 289, 16, 454 on a calculator?

You can find the GCD of 103, 289, 16, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.