GCD of 462, 430, 99, 702 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, 430, 99, 702 i.e. 1 largest integer that divides all the numbers equally.

GCD of 462, 430, 99, 702 is 1

GCD(462, 430, 99, 702) = 1

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

GCD of

GCD of numbers 462, 430, 99, 702 is 1

GCD(462, 430, 99, 702) = 1

GCD of 462,430,99,702 Calculator

GCDof 462,430,99,702 is 1

Given Input numbers are 462, 430, 99, 702

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 462, 430, 99, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 430, 99, 702 is 1.

Therefore, GCD of numbers 462, 430, 99, 702 is 1

Finding GCD of 462, 430, 99, 702 using Prime Factorization

Given Input Data is 462, 430, 99, 702

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 430 is 2 x 5 x 43

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Finding GCD of 462, 430, 99, 702 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, 430) = 99330

GCD(462, 430) = ( 462 x 430 ) / 99330

GCD(462, 430) = 198660 / 99330

GCD(462, 430) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 462, 430, 99, 702 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 462, 430, 99, 702

1. What is the GCD of 462, 430, 99, 702?

GCD of 462, 430, 99, 702 is 1


2. Where do I get the detailed procedure to find GCD of 462, 430, 99, 702?

You can find a detailed procedure to find GCD of 462, 430, 99, 702 on our page.


3. How to find GCD of 462, 430, 99, 702 on a calculator?

You can find the GCD of 462, 430, 99, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.