GCD of 294, 784, 949 Calculator

Given Input numbers are 294, 784, 949

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 294, 784, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 784, 949 is 1.

Therefore, GCD of numbers 294, 784, 949 is 1

Given Input Data is 294, 784, 949

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 949 is 13 x 73

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, 784) = 2352

GCD(294, 784) = ( 294 x 784 ) / 2352

GCD(294, 784) = 230496 / 2352

GCD(294, 784) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 949

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

LCM(98, 949) = 93002

GCD(98, 949) = ( 98 x 949 ) / 93002

GCD(98, 949) = 93002 / 93002

GCD(98, 949) = 1

GCD of 294, 784, 949 is 1

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1. What is the GCD of 294, 784, 949?

GCD of 294, 784, 949 is 1

2. Where do I get the detailed procedure to find GCD of 294, 784, 949?

You can find a detailed procedure to find GCD of 294, 784, 949 on our page.

3. How to find GCD of 294, 784, 949 on a calculator?

You can find the GCD of 294, 784, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.