GCD of 119, 490, 857, 441 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 119, 490, 857, 441 i.e. 1 largest integer that divides all the numbers equally.

GCD of 119, 490, 857, 441 is 1

GCD(119, 490, 857, 441) = 1

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

GCD of

GCD of numbers 119, 490, 857, 441 is 1

GCD(119, 490, 857, 441) = 1

GCD of 119,490,857,441 Calculator

GCDof 119,490,857,441 is 1

Given Input numbers are 119, 490, 857, 441

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

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 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 119, 490, 857, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 490, 857, 441 is 1.

Therefore, GCD of numbers 119, 490, 857, 441 is 1

Finding GCD of 119, 490, 857, 441 using Prime Factorization

Given Input Data is 119, 490, 857, 441

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

Prime Factorization of 119 is 7 x 17

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

Prime Factorization of 857 is 857

Prime Factorization of 441 is 3 x 3 x 7 x 7

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

Finding GCD of 119, 490, 857, 441 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(119, 490) = 8330

GCD(119, 490) = ( 119 x 490 ) / 8330

GCD(119, 490) = 58310 / 8330

GCD(119, 490) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 857

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

LCM(7, 857) = 5999

GCD(7, 857) = ( 7 x 857 ) / 5999

GCD(7, 857) = 5999 / 5999

GCD(7, 857) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 119, 490, 857, 441 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 119, 490, 857, 441

1. What is the GCD of 119, 490, 857, 441?

GCD of 119, 490, 857, 441 is 1


2. Where do I get the detailed procedure to find GCD of 119, 490, 857, 441?

You can find a detailed procedure to find GCD of 119, 490, 857, 441 on our page.


3. How to find GCD of 119, 490, 857, 441 on a calculator?

You can find the GCD of 119, 490, 857, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.