GCD of 490, 300, 341, 660 Calculator

Given Input numbers are 490, 300, 341, 660

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 490, 300, 341, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 300, 341, 660 is 1.

Therefore, GCD of numbers 490, 300, 341, 660 is 1

Given Input Data is 490, 300, 341, 660

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 341 is 11 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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, 300) = 14700

GCD(490, 300) = ( 490 x 300 ) / 14700

GCD(490, 300) = 147000 / 14700

GCD(490, 300) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 341

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

LCM(10, 341) = 3410

GCD(10, 341) = ( 10 x 341 ) / 3410

GCD(10, 341) = 3410 / 3410

GCD(10, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 490, 300, 341, 660 is 1

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1. What is the GCD of 490, 300, 341, 660?

GCD of 490, 300, 341, 660 is 1

2. Where do I get the detailed procedure to find GCD of 490, 300, 341, 660?

You can find a detailed procedure to find GCD of 490, 300, 341, 660 on our page.

3. How to find GCD of 490, 300, 341, 660 on a calculator?

You can find the GCD of 490, 300, 341, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.