GCD of 346, 238, 45, 267 Calculator

Given Input numbers are 346, 238, 45, 267

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 267

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

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 346, 238, 45, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 238, 45, 267 is 1.

Therefore, GCD of numbers 346, 238, 45, 267 is 1

Given Input Data is 346, 238, 45, 267

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 267 is 3 x 89

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(346, 238) = 41174

GCD(346, 238) = ( 346 x 238 ) / 41174

GCD(346, 238) = 82348 / 41174

GCD(346, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 346, 238, 45, 267 is 1

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• GCD of 974, 658, 64, 759
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1. What is the GCD of 346, 238, 45, 267?

GCD of 346, 238, 45, 267 is 1

2. Where do I get the detailed procedure to find GCD of 346, 238, 45, 267?

You can find a detailed procedure to find GCD of 346, 238, 45, 267 on our page.

3. How to find GCD of 346, 238, 45, 267 on a calculator?

You can find the GCD of 346, 238, 45, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.