GCD of 498, 702, 789, 521 Calculator

Given Input numbers are 498, 702, 789, 521

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 498, 702, 789, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 702, 789, 521 is 1.

Therefore, GCD of numbers 498, 702, 789, 521 is 1

Given Input Data is 498, 702, 789, 521

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 789 is 3 x 263

Prime Factorization of 521 is 521

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, 702) = 58266

GCD(498, 702) = ( 498 x 702 ) / 58266

GCD(498, 702) = 349596 / 58266

GCD(498, 702) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 789

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

LCM(6, 789) = 1578

GCD(6, 789) = ( 6 x 789 ) / 1578

GCD(6, 789) = 4734 / 1578

GCD(6, 789) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 521

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

LCM(3, 521) = 1563

GCD(3, 521) = ( 3 x 521 ) / 1563

GCD(3, 521) = 1563 / 1563

GCD(3, 521) = 1

GCD of 498, 702, 789, 521 is 1

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• GCD of 848, 153, 844, 268
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1. What is the GCD of 498, 702, 789, 521?

GCD of 498, 702, 789, 521 is 1

2. Where do I get the detailed procedure to find GCD of 498, 702, 789, 521?

You can find a detailed procedure to find GCD of 498, 702, 789, 521 on our page.

3. How to find GCD of 498, 702, 789, 521 on a calculator?

You can find the GCD of 498, 702, 789, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.