GCD of 490, 604, 739, 349 Calculator

Given Input numbers are 490, 604, 739, 349

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 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 490, 604, 739, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 604, 739, 349 is 1.

Therefore, GCD of numbers 490, 604, 739, 349 is 1

Given Input Data is 490, 604, 739, 349

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 604 is 2 x 2 x 151

Prime Factorization of 739 is 739

Prime Factorization of 349 is 349

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

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, 604) = 147980

GCD(490, 604) = ( 490 x 604 ) / 147980

GCD(490, 604) = 295960 / 147980

GCD(490, 604) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 490, 604, 739, 349 is 1

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1. What is the GCD of 490, 604, 739, 349?

GCD of 490, 604, 739, 349 is 1

2. Where do I get the detailed procedure to find GCD of 490, 604, 739, 349?

You can find a detailed procedure to find GCD of 490, 604, 739, 349 on our page.

3. How to find GCD of 490, 604, 739, 349 on a calculator?

You can find the GCD of 490, 604, 739, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.