GCD of 294, 137, 99, 823 Calculator

Given Input numbers are 294, 137, 99, 823

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 294, 137, 99, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 137, 99, 823 is 1.

Therefore, GCD of numbers 294, 137, 99, 823 is 1

Given Input Data is 294, 137, 99, 823

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 137 is 137

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 823 is 823

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, 137) = 40278

GCD(294, 137) = ( 294 x 137 ) / 40278

GCD(294, 137) = 40278 / 40278

GCD(294, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 294, 137, 99, 823 is 1

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1. What is the GCD of 294, 137, 99, 823?

GCD of 294, 137, 99, 823 is 1

2. Where do I get the detailed procedure to find GCD of 294, 137, 99, 823?

You can find a detailed procedure to find GCD of 294, 137, 99, 823 on our page.

3. How to find GCD of 294, 137, 99, 823 on a calculator?

You can find the GCD of 294, 137, 99, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.