GCD of 373, 274, 50, 814 Calculator

Given Input numbers are 373, 274, 50, 814

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

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 373, 274, 50, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 373, 274, 50, 814 is 1.

Therefore, GCD of numbers 373, 274, 50, 814 is 1

Given Input Data is 373, 274, 50, 814

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

Prime Factorization of 373 is 373

Prime Factorization of 274 is 2 x 137

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 814 is 2 x 11 x 37

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(373, 274) = 102202

GCD(373, 274) = ( 373 x 274 ) / 102202

GCD(373, 274) = 102202 / 102202

GCD(373, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 373, 274, 50, 814 is 1

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1. What is the GCD of 373, 274, 50, 814?

GCD of 373, 274, 50, 814 is 1

2. Where do I get the detailed procedure to find GCD of 373, 274, 50, 814?

You can find a detailed procedure to find GCD of 373, 274, 50, 814 on our page.

3. How to find GCD of 373, 274, 50, 814 on a calculator?

You can find the GCD of 373, 274, 50, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.