GCD of 301, 674, 50 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 301, 674, 50 i.e. 1 largest integer that divides all the numbers equally.

GCD of 301, 674, 50 is 1

GCD(301, 674, 50) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 301, 674, 50 is 1

GCD(301, 674, 50) = 1

GCD of 301,674,50 Calculator

GCDof 301,674,50 is 1

Given Input numbers are 301, 674, 50

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 674

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

1, 2, 337, 674

Divisors of 50

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

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 301, 674, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 674, 50 is 1.

Therefore, GCD of numbers 301, 674, 50 is 1

Finding GCD of 301, 674, 50 using Prime Factorization

Given Input Data is 301, 674, 50

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 674 is 2 x 337

Prime Factorization of 50 is 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 301, 674, 50 using LCM Formula

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(301, 674) = 202874

GCD(301, 674) = ( 301 x 674 ) / 202874

GCD(301, 674) = 202874 / 202874

GCD(301, 674) = 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

GCD of 301, 674, 50 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 301, 674, 50

1. What is the GCD of 301, 674, 50?

GCD of 301, 674, 50 is 1

2. Where do I get the detailed procedure to find GCD of 301, 674, 50?

You can find a detailed procedure to find GCD of 301, 674, 50 on our page.

3. How to find GCD of 301, 674, 50 on a calculator?

You can find the GCD of 301, 674, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.