GCD of 260, 648, 454, 355 Calculator

Given Input numbers are 260, 648, 454, 355

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 260, 648, 454, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 648, 454, 355 is 1.

Therefore, GCD of numbers 260, 648, 454, 355 is 1

Given Input Data is 260, 648, 454, 355

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 355 is 5 x 71

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(260, 648) = 42120

GCD(260, 648) = ( 260 x 648 ) / 42120

GCD(260, 648) = 168480 / 42120

GCD(260, 648) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 260, 648, 454, 355 is 1

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1. What is the GCD of 260, 648, 454, 355?

GCD of 260, 648, 454, 355 is 1

2. Where do I get the detailed procedure to find GCD of 260, 648, 454, 355?

You can find a detailed procedure to find GCD of 260, 648, 454, 355 on our page.

3. How to find GCD of 260, 648, 454, 355 on a calculator?

You can find the GCD of 260, 648, 454, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.