GCD of 498, 581, 709, 650 Calculator

Given Input numbers are 498, 581, 709, 650

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 498, 581, 709, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 581, 709, 650 is 1.

Therefore, GCD of numbers 498, 581, 709, 650 is 1

Given Input Data is 498, 581, 709, 650

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 581 is 7 x 83

Prime Factorization of 709 is 709

Prime Factorization of 650 is 2 x 5 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(498, 581) = 3486

GCD(498, 581) = ( 498 x 581 ) / 3486

GCD(498, 581) = 289338 / 3486

GCD(498, 581) = 83

Step2:

Here we consider the GCD from the above i.e. 83 as first number and the next as 709

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

LCM(83, 709) = 58847

GCD(83, 709) = ( 83 x 709 ) / 58847

GCD(83, 709) = 58847 / 58847

GCD(83, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 498, 581, 709, 650 is 1

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1. What is the GCD of 498, 581, 709, 650?

GCD of 498, 581, 709, 650 is 1

2. Where do I get the detailed procedure to find GCD of 498, 581, 709, 650?

You can find a detailed procedure to find GCD of 498, 581, 709, 650 on our page.

3. How to find GCD of 498, 581, 709, 650 on a calculator?

You can find the GCD of 498, 581, 709, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.