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 489, 881, 212, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 489, 881, 212, 735 is 1
GCD(489, 881, 212, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 489, 881, 212, 735 is 1
GCD(489, 881, 212, 735) = 1
Given Input numbers are 489, 881, 212, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 489, 881, 212, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 881, 212, 735 is 1.
Therefore, GCD of numbers 489, 881, 212, 735 is 1
Given Input Data is 489, 881, 212, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 489 is 3 x 163
Prime Factorization of 881 is 881
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(489, 881) = 430809
GCD(489, 881) = ( 489 x 881 ) / 430809
GCD(489, 881) = 430809 / 430809
GCD(489, 881) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
GCD of 489, 881, 212, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 489, 881, 212, 735?
GCD of 489, 881, 212, 735 is 1
2. Where do I get the detailed procedure to find GCD of 489, 881, 212, 735?
You can find a detailed procedure to find GCD of 489, 881, 212, 735 on our page.
3. How to find GCD of 489, 881, 212, 735 on a calculator?
You can find the GCD of 489, 881, 212, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.