GCD of 294, 154, 92, 969 Calculator

Given Input numbers are 294, 154, 92, 969

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 294, 154, 92, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 154, 92, 969 is 1.

Therefore, GCD of numbers 294, 154, 92, 969 is 1

Given Input Data is 294, 154, 92, 969

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 154 is 2 x 7 x 11

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 969 is 3 x 17 x 19

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, 154) = 3234

GCD(294, 154) = ( 294 x 154 ) / 3234

GCD(294, 154) = 45276 / 3234

GCD(294, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 92

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

LCM(14, 92) = 644

GCD(14, 92) = ( 14 x 92 ) / 644

GCD(14, 92) = 1288 / 644

GCD(14, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 294, 154, 92, 969 is 1

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1. What is the GCD of 294, 154, 92, 969?

GCD of 294, 154, 92, 969 is 1

2. Where do I get the detailed procedure to find GCD of 294, 154, 92, 969?

You can find a detailed procedure to find GCD of 294, 154, 92, 969 on our page.

3. How to find GCD of 294, 154, 92, 969 on a calculator?

You can find the GCD of 294, 154, 92, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.