GCD of 490, 307, 980, 240 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 490, 307, 980, 240 i.e. 1 largest integer that divides all the numbers equally.

GCD of 490, 307, 980, 240 is 1

GCD(490, 307, 980, 240) = 1

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

GCD of

GCD of numbers 490, 307, 980, 240 is 1

GCD(490, 307, 980, 240) = 1

GCD of 490,307,980,240 Calculator

GCDof 490,307,980,240 is 1

Given Input numbers are 490, 307, 980, 240

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 490, 307, 980, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 307, 980, 240 is 1.

Therefore, GCD of numbers 490, 307, 980, 240 is 1

Finding GCD of 490, 307, 980, 240 using Prime Factorization

Given Input Data is 490, 307, 980, 240

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 307 is 307

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 490, 307, 980, 240 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(490, 307) = 150430

GCD(490, 307) = ( 490 x 307 ) / 150430

GCD(490, 307) = 150430 / 150430

GCD(490, 307) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 490, 307, 980, 240 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 490, 307, 980, 240

1. What is the GCD of 490, 307, 980, 240?

GCD of 490, 307, 980, 240 is 1


2. Where do I get the detailed procedure to find GCD of 490, 307, 980, 240?

You can find a detailed procedure to find GCD of 490, 307, 980, 240 on our page.


3. How to find GCD of 490, 307, 980, 240 on a calculator?

You can find the GCD of 490, 307, 980, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.