Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 745, 626, 489, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 626, 489, 829 is 1
GCD(745, 626, 489, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 626, 489, 829 is 1
GCD(745, 626, 489, 829) = 1
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.
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.