GCD of 499, 141, 91, 558 Calculator

Given Input numbers are 499, 141, 91, 558

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 141

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

1, 3, 47, 141

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 499, 141, 91, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 141, 91, 558 is 1.

Therefore, GCD of numbers 499, 141, 91, 558 is 1

Given Input Data is 499, 141, 91, 558

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

Prime Factorization of 499 is 499

Prime Factorization of 141 is 3 x 47

Prime Factorization of 91 is 7 x 13

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(499, 141) = 70359

GCD(499, 141) = ( 499 x 141 ) / 70359

GCD(499, 141) = 70359 / 70359

GCD(499, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 499, 141, 91, 558 is 1

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1. What is the GCD of 499, 141, 91, 558?

GCD of 499, 141, 91, 558 is 1

2. Where do I get the detailed procedure to find GCD of 499, 141, 91, 558?

You can find a detailed procedure to find GCD of 499, 141, 91, 558 on our page.

3. How to find GCD of 499, 141, 91, 558 on a calculator?

You can find the GCD of 499, 141, 91, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.