GCD of 457, 588, 144, 559 Calculator

Given Input numbers are 457, 588, 144, 559

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 457, 588, 144, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 588, 144, 559 is 1.

Therefore, GCD of numbers 457, 588, 144, 559 is 1

Given Input Data is 457, 588, 144, 559

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

Prime Factorization of 457 is 457

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 559 is 13 x 43

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(457, 588) = 268716

GCD(457, 588) = ( 457 x 588 ) / 268716

GCD(457, 588) = 268716 / 268716

GCD(457, 588) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 457, 588, 144, 559 is 1

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• GCD of 941, 298, 911, 691
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1. What is the GCD of 457, 588, 144, 559?

GCD of 457, 588, 144, 559 is 1

2. Where do I get the detailed procedure to find GCD of 457, 588, 144, 559?

You can find a detailed procedure to find GCD of 457, 588, 144, 559 on our page.

3. How to find GCD of 457, 588, 144, 559 on a calculator?

You can find the GCD of 457, 588, 144, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.