GCD of 462, 807, 353 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, 807, 353 i.e. 1 largest integer that divides all the numbers equally.

GCD of 462, 807, 353 is 1

GCD(462, 807, 353) = 1

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

GCD of

GCD of numbers 462, 807, 353 is 1

GCD(462, 807, 353) = 1

GCD of 462,807,353 Calculator

GCDof 462,807,353 is 1

Given Input numbers are 462, 807, 353

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 462, 807, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 807, 353 is 1.

Therefore, GCD of numbers 462, 807, 353 is 1

Finding GCD of 462, 807, 353 using Prime Factorization

Given Input Data is 462, 807, 353

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 807 is 3 x 269

Prime Factorization of 353 is 353

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

Finding GCD of 462, 807, 353 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, 807) = 124278

GCD(462, 807) = ( 462 x 807 ) / 124278

GCD(462, 807) = 372834 / 124278

GCD(462, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 353

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

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

GCD(3, 353) = 1059 / 1059

GCD(3, 353) = 1

GCD of 462, 807, 353 is 1

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FAQs on GCD of numbers 462, 807, 353

1. What is the GCD of 462, 807, 353?

GCD of 462, 807, 353 is 1

2. Where do I get the detailed procedure to find GCD of 462, 807, 353?

You can find a detailed procedure to find GCD of 462, 807, 353 on our page.

3. How to find GCD of 462, 807, 353 on a calculator?

You can find the GCD of 462, 807, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.