GCD of 141, 585, 791, 565 Calculator

Given Input numbers are 141, 585, 791, 565

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

Divisors of 141

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

1, 3, 47, 141

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 141, 585, 791, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 585, 791, 565 is 1.

Therefore, GCD of numbers 141, 585, 791, 565 is 1

Given Input Data is 141, 585, 791, 565

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 791 is 7 x 113

Prime Factorization of 565 is 5 x 113

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(141, 585) = 27495

GCD(141, 585) = ( 141 x 585 ) / 27495

GCD(141, 585) = 82485 / 27495

GCD(141, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 791

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

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

GCD(3, 791) = 2373 / 2373

GCD(3, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 141, 585, 791, 565 is 1

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1. What is the GCD of 141, 585, 791, 565?

GCD of 141, 585, 791, 565 is 1

2. Where do I get the detailed procedure to find GCD of 141, 585, 791, 565?

You can find a detailed procedure to find GCD of 141, 585, 791, 565 on our page.

3. How to find GCD of 141, 585, 791, 565 on a calculator?

You can find the GCD of 141, 585, 791, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.