GCD of 326, 464, 630, 350 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 326, 464, 630, 350 i.e. 2 largest integer that divides all the numbers equally.

GCD of 326, 464, 630, 350 is 2

GCD(326, 464, 630, 350) = 2

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

GCD of

GCD of numbers 326, 464, 630, 350 is 2

GCD(326, 464, 630, 350) = 2

GCD of 326,464,630,350 Calculator

GCDof 326,464,630,350 is 2

Given Input numbers are 326, 464, 630, 350

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 326, 464, 630, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 464, 630, 350 is 2.

Therefore, GCD of numbers 326, 464, 630, 350 is 2

Finding GCD of 326, 464, 630, 350 using Prime Factorization

Given Input Data is 326, 464, 630, 350

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 350 is 2 x 5 x 5 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 326, 464, 630, 350 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(326, 464) = 75632

GCD(326, 464) = ( 326 x 464 ) / 75632

GCD(326, 464) = 151264 / 75632

GCD(326, 464) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

GCD of 326, 464, 630, 350 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 326, 464, 630, 350

1. What is the GCD of 326, 464, 630, 350?

GCD of 326, 464, 630, 350 is 2


2. Where do I get the detailed procedure to find GCD of 326, 464, 630, 350?

You can find a detailed procedure to find GCD of 326, 464, 630, 350 on our page.


3. How to find GCD of 326, 464, 630, 350 on a calculator?

You can find the GCD of 326, 464, 630, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.