GCD of 980, 330, 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 980, 330, 350 i.e. 10 largest integer that divides all the numbers equally.

GCD of 980, 330, 350 is 10

GCD(980, 330, 350) = 10

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

GCD of

GCD of numbers 980, 330, 350 is 10

GCD(980, 330, 350) = 10

GCD of 980,330,350 Calculator

GCDof 980,330,350 is 10

Given Input numbers are 980, 330, 350

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 980, 330, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 330, 350 is 10.

Therefore, GCD of numbers 980, 330, 350 is 10

Finding GCD of 980, 330, 350 using Prime Factorization

Given Input Data is 980, 330, 350

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 330 is 2 x 3 x 5 x 11

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

Highest common occurrences in the given inputs are 21 x 51

Multiplying them we get the GCD as 10

Finding GCD of 980, 330, 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(980, 330) = 32340

GCD(980, 330) = ( 980 x 330 ) / 32340

GCD(980, 330) = 323400 / 32340

GCD(980, 330) = 10


Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 350

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

LCM(10, 350) = 350

GCD(10, 350) = ( 10 x 350 ) / 350

GCD(10, 350) = 3500 / 350

GCD(10, 350) = 10

GCD of 980, 330, 350 is 10

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 980, 330, 350

1. What is the GCD of 980, 330, 350?

GCD of 980, 330, 350 is 10


2. Where do I get the detailed procedure to find GCD of 980, 330, 350?

You can find a detailed procedure to find GCD of 980, 330, 350 on our page.


3. How to find GCD of 980, 330, 350 on a calculator?

You can find the GCD of 980, 330, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.