GCD of 34, 294, 553, 794 Calculator

Given Input numbers are 34, 294, 553, 794

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 34, 294, 553, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 294, 553, 794 is 1.

Therefore, GCD of numbers 34, 294, 553, 794 is 1

Given Input Data is 34, 294, 553, 794

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

Prime Factorization of 34 is 2 x 17

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 794 is 2 x 397

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(34, 294) = 4998

GCD(34, 294) = ( 34 x 294 ) / 4998

GCD(34, 294) = 9996 / 4998

GCD(34, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 34, 294, 553, 794 is 1

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• GCD of 89, 955, 697, 867
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1. What is the GCD of 34, 294, 553, 794?

GCD of 34, 294, 553, 794 is 1

2. Where do I get the detailed procedure to find GCD of 34, 294, 553, 794?

You can find a detailed procedure to find GCD of 34, 294, 553, 794 on our page.

3. How to find GCD of 34, 294, 553, 794 on a calculator?

You can find the GCD of 34, 294, 553, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.