GCD of 462, 600, 301 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 462, 600, 301 i.e. 1 largest integer that divides all the numbers equally.

GCD of 462, 600, 301 is 1

GCD(462, 600, 301) = 1

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

GCD of

GCD of numbers 462, 600, 301 is 1

GCD(462, 600, 301) = 1

GCD of 462,600,301 Calculator

GCDof 462,600,301 is 1

Given Input numbers are 462, 600, 301

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 301

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

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 462, 600, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 600, 301 is 1.

Therefore, GCD of numbers 462, 600, 301 is 1

Finding GCD of 462, 600, 301 using Prime Factorization

Given Input Data is 462, 600, 301

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 301 is 7 x 43

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

Finding GCD of 462, 600, 301 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(462, 600) = 46200

GCD(462, 600) = ( 462 x 600 ) / 46200

GCD(462, 600) = 277200 / 46200

GCD(462, 600) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 301

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

LCM(6, 301) = 1806

GCD(6, 301) = ( 6 x 301 ) / 1806

GCD(6, 301) = 1806 / 1806

GCD(6, 301) = 1

GCD of 462, 600, 301 is 1

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FAQs on GCD of numbers 462, 600, 301

1. What is the GCD of 462, 600, 301?

GCD of 462, 600, 301 is 1

2. Where do I get the detailed procedure to find GCD of 462, 600, 301?

You can find a detailed procedure to find GCD of 462, 600, 301 on our page.

3. How to find GCD of 462, 600, 301 on a calculator?

You can find the GCD of 462, 600, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.