GCD of 980, 884, 96, 650 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, 884, 96, 650 i.e. 2 largest integer that divides all the numbers equally.

GCD of 980, 884, 96, 650 is 2

GCD(980, 884, 96, 650) = 2

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

GCD of

GCD of numbers 980, 884, 96, 650 is 2

GCD(980, 884, 96, 650) = 2

GCD of 980,884,96,650 Calculator

GCDof 980,884,96,650 is 2

Given Input numbers are 980, 884, 96, 650

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 980, 884, 96, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 884, 96, 650 is 2.

Therefore, GCD of numbers 980, 884, 96, 650 is 2

Finding GCD of 980, 884, 96, 650 using Prime Factorization

Given Input Data is 980, 884, 96, 650

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 980, 884, 96, 650 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, 884) = 216580

GCD(980, 884) = ( 980 x 884 ) / 216580

GCD(980, 884) = 866320 / 216580

GCD(980, 884) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 650

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

LCM(4, 650) = 1300

GCD(4, 650) = ( 4 x 650 ) / 1300

GCD(4, 650) = 2600 / 1300

GCD(4, 650) = 2

GCD of 980, 884, 96, 650 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 980, 884, 96, 650

1. What is the GCD of 980, 884, 96, 650?

GCD of 980, 884, 96, 650 is 2


2. Where do I get the detailed procedure to find GCD of 980, 884, 96, 650?

You can find a detailed procedure to find GCD of 980, 884, 96, 650 on our page.


3. How to find GCD of 980, 884, 96, 650 on a calculator?

You can find the GCD of 980, 884, 96, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.