GCD of 294, 724, 398, 635 Calculator

Given Input numbers are 294, 724, 398, 635

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 294, 724, 398, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 724, 398, 635 is 1.

Therefore, GCD of numbers 294, 724, 398, 635 is 1

Given Input Data is 294, 724, 398, 635

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 724 is 2 x 2 x 181

Prime Factorization of 398 is 2 x 199

Prime Factorization of 635 is 5 x 127

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, 724) = 106428

GCD(294, 724) = ( 294 x 724 ) / 106428

GCD(294, 724) = 212856 / 106428

GCD(294, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

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

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

GCD of 294, 724, 398, 635 is 1

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1. What is the GCD of 294, 724, 398, 635?

GCD of 294, 724, 398, 635 is 1

2. Where do I get the detailed procedure to find GCD of 294, 724, 398, 635?

You can find a detailed procedure to find GCD of 294, 724, 398, 635 on our page.

3. How to find GCD of 294, 724, 398, 635 on a calculator?

You can find the GCD of 294, 724, 398, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.