GCD of 291, 371, 14, 604 Calculator

Given Input numbers are 291, 371, 14, 604

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 291, 371, 14, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 371, 14, 604 is 1.

Therefore, GCD of numbers 291, 371, 14, 604 is 1

Given Input Data is 291, 371, 14, 604

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 371 is 7 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 604 is 2 x 2 x 151

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(291, 371) = 107961

GCD(291, 371) = ( 291 x 371 ) / 107961

GCD(291, 371) = 107961 / 107961

GCD(291, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 291, 371, 14, 604 is 1

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1. What is the GCD of 291, 371, 14, 604?

GCD of 291, 371, 14, 604 is 1

2. Where do I get the detailed procedure to find GCD of 291, 371, 14, 604?

You can find a detailed procedure to find GCD of 291, 371, 14, 604 on our page.

3. How to find GCD of 291, 371, 14, 604 on a calculator?

You can find the GCD of 291, 371, 14, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.