GCD of 745, 626, 489, 829 Calculator

Given Input numbers are 745, 626, 489, 829

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 745, 626, 489, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 626, 489, 829 is 1.

Therefore, GCD of numbers 745, 626, 489, 829 is 1

Given Input Data is 745, 626, 489, 829

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 626 is 2 x 313

Prime Factorization of 489 is 3 x 163

Prime Factorization of 829 is 829

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(745, 626) = 466370

GCD(745, 626) = ( 745 x 626 ) / 466370

GCD(745, 626) = 466370 / 466370

GCD(745, 626) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 745, 626, 489, 829 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 745, 626, 489, 829?

GCD of 745, 626, 489, 829 is 1

2. Where do I get the detailed procedure to find GCD of 745, 626, 489, 829?

You can find a detailed procedure to find GCD of 745, 626, 489, 829 on our page.

3. How to find GCD of 745, 626, 489, 829 on a calculator?

You can find the GCD of 745, 626, 489, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.