GCD of 497, 249, 141, 260 Calculator

Given Input numbers are 497, 249, 141, 260

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

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

Greatest Common Divisior

We found the divisors of 497, 249, 141, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 249, 141, 260 is 1.

Therefore, GCD of numbers 497, 249, 141, 260 is 1

Given Input Data is 497, 249, 141, 260

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 249 is 3 x 83

Prime Factorization of 141 is 3 x 47

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

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(497, 249) = 123753

GCD(497, 249) = ( 497 x 249 ) / 123753

GCD(497, 249) = 123753 / 123753

GCD(497, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 497, 249, 141, 260 is 1

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1. What is the GCD of 497, 249, 141, 260?

GCD of 497, 249, 141, 260 is 1

2. Where do I get the detailed procedure to find GCD of 497, 249, 141, 260?

You can find a detailed procedure to find GCD of 497, 249, 141, 260 on our page.

3. How to find GCD of 497, 249, 141, 260 on a calculator?

You can find the GCD of 497, 249, 141, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.