GCD of 205, 490, 291, 648 Calculator

Given Input numbers are 205, 490, 291, 648

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 205, 490, 291, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 490, 291, 648 is 1.

Therefore, GCD of numbers 205, 490, 291, 648 is 1

Given Input Data is 205, 490, 291, 648

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

Prime Factorization of 205 is 5 x 41

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(205, 490) = 20090

GCD(205, 490) = ( 205 x 490 ) / 20090

GCD(205, 490) = 100450 / 20090

GCD(205, 490) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 291

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

LCM(5, 291) = 1455

GCD(5, 291) = ( 5 x 291 ) / 1455

GCD(5, 291) = 1455 / 1455

GCD(5, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 205, 490, 291, 648 is 1

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• GCD of 778, 339, 537, 261
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1. What is the GCD of 205, 490, 291, 648?

GCD of 205, 490, 291, 648 is 1

2. Where do I get the detailed procedure to find GCD of 205, 490, 291, 648?

You can find a detailed procedure to find GCD of 205, 490, 291, 648 on our page.

3. How to find GCD of 205, 490, 291, 648 on a calculator?

You can find the GCD of 205, 490, 291, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.