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 689, 429, 80, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 429, 80, 884 is 1
GCD(689, 429, 80, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 429, 80, 884 is 1
GCD(689, 429, 80, 884) = 1
Given Input numbers are 689, 429, 80, 884
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Greatest Common Divisior
We found the divisors of 689, 429, 80, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 429, 80, 884 is 1.
Therefore, GCD of numbers 689, 429, 80, 884 is 1
Given Input Data is 689, 429, 80, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 884 is 2 x 2 x 13 x 17
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(689, 429) = 22737
GCD(689, 429) = ( 689 x 429 ) / 22737
GCD(689, 429) = 295581 / 22737
GCD(689, 429) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 80) = 1040
GCD(13, 80) = ( 13 x 80 ) / 1040
GCD(13, 80) = 1040 / 1040
GCD(13, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 884) = 884
GCD(1, 884) = ( 1 x 884 ) / 884
GCD(1, 884) = 884 / 884
GCD(1, 884) = 1
GCD of 689, 429, 80, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 429, 80, 884?
GCD of 689, 429, 80, 884 is 1
2. Where do I get the detailed procedure to find GCD of 689, 429, 80, 884?
You can find a detailed procedure to find GCD of 689, 429, 80, 884 on our page.
3. How to find GCD of 689, 429, 80, 884 on a calculator?
You can find the GCD of 689, 429, 80, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.