GCD of 490, 149, 423, 664 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, 149, 423, 664 i.e. 1 largest integer that divides all the numbers equally.

GCD of 490, 149, 423, 664 is 1

GCD(490, 149, 423, 664) = 1

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

GCD of

GCD of numbers 490, 149, 423, 664 is 1

GCD(490, 149, 423, 664) = 1

GCD of 490,149,423,664 Calculator

GCDof 490,149,423,664 is 1

Given Input numbers are 490, 149, 423, 664

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 490, 149, 423, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 149, 423, 664 is 1.

Therefore, GCD of numbers 490, 149, 423, 664 is 1

Finding GCD of 490, 149, 423, 664 using Prime Factorization

Given Input Data is 490, 149, 423, 664

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 149 is 149

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

Finding GCD of 490, 149, 423, 664 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, 149) = 73010

GCD(490, 149) = ( 490 x 149 ) / 73010

GCD(490, 149) = 73010 / 73010

GCD(490, 149) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 490, 149, 423, 664 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 490, 149, 423, 664

1. What is the GCD of 490, 149, 423, 664?

GCD of 490, 149, 423, 664 is 1


2. Where do I get the detailed procedure to find GCD of 490, 149, 423, 664?

You can find a detailed procedure to find GCD of 490, 149, 423, 664 on our page.


3. How to find GCD of 490, 149, 423, 664 on a calculator?

You can find the GCD of 490, 149, 423, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.