GCD of 294, 838, 674, 147 Calculator

Given Input numbers are 294, 838, 674, 147

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 294, 838, 674, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 838, 674, 147 is 1.

Therefore, GCD of numbers 294, 838, 674, 147 is 1

Given Input Data is 294, 838, 674, 147

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 838 is 2 x 419

Prime Factorization of 674 is 2 x 337

Prime Factorization of 147 is 3 x 7 x 7

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, 838) = 123186

GCD(294, 838) = ( 294 x 838 ) / 123186

GCD(294, 838) = 246372 / 123186

GCD(294, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 294, 838, 674, 147 is 1

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1. What is the GCD of 294, 838, 674, 147?

GCD of 294, 838, 674, 147 is 1

2. Where do I get the detailed procedure to find GCD of 294, 838, 674, 147?

You can find a detailed procedure to find GCD of 294, 838, 674, 147 on our page.

3. How to find GCD of 294, 838, 674, 147 on a calculator?

You can find the GCD of 294, 838, 674, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.