GCD of 267, 289, 96, 458 Calculator

Given Input numbers are 267, 289, 96, 458

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 289

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

1, 17, 289

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 267, 289, 96, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 289, 96, 458 is 1.

Therefore, GCD of numbers 267, 289, 96, 458 is 1

Given Input Data is 267, 289, 96, 458

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 289 is 17 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 458 is 2 x 229

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(267, 289) = 77163

GCD(267, 289) = ( 267 x 289 ) / 77163

GCD(267, 289) = 77163 / 77163

GCD(267, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 267, 289, 96, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 863, 42, 832
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1. What is the GCD of 267, 289, 96, 458?

GCD of 267, 289, 96, 458 is 1

2. Where do I get the detailed procedure to find GCD of 267, 289, 96, 458?

You can find a detailed procedure to find GCD of 267, 289, 96, 458 on our page.

3. How to find GCD of 267, 289, 96, 458 on a calculator?

You can find the GCD of 267, 289, 96, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.