GCD of 294, 267, 920, 112 Calculator

Given Input numbers are 294, 267, 920, 112

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 267

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

1, 3, 89, 267

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 294, 267, 920, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 267, 920, 112 is 1.

Therefore, GCD of numbers 294, 267, 920, 112 is 1

Given Input Data is 294, 267, 920, 112

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 267 is 3 x 89

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 112 is 2 x 2 x 2 x 2 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(294, 267) = 26166

GCD(294, 267) = ( 294 x 267 ) / 26166

GCD(294, 267) = 78498 / 26166

GCD(294, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 920

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

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

GCD(3, 920) = 2760 / 2760

GCD(3, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 294, 267, 920, 112 is 1

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1. What is the GCD of 294, 267, 920, 112?

GCD of 294, 267, 920, 112 is 1

2. Where do I get the detailed procedure to find GCD of 294, 267, 920, 112?

You can find a detailed procedure to find GCD of 294, 267, 920, 112 on our page.

3. How to find GCD of 294, 267, 920, 112 on a calculator?

You can find the GCD of 294, 267, 920, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.