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 840, 280, 89, 884 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 280, 89, 884 is 1
GCD(840, 280, 89, 884) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 280, 89, 884 is 1
GCD(840, 280, 89, 884) = 1
Given Input numbers are 840, 280, 89, 884
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
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 840, 280, 89, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 280, 89, 884 is 1.
Therefore, GCD of numbers 840, 280, 89, 884 is 1
Given Input Data is 840, 280, 89, 884
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 89 is 89
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(840, 280) = 840
GCD(840, 280) = ( 840 x 280 ) / 840
GCD(840, 280) = 235200 / 840
GCD(840, 280) = 280
Step2:
Here we consider the GCD from the above i.e. 280 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(280, 89) = 24920
GCD(280, 89) = ( 280 x 89 ) / 24920
GCD(280, 89) = 24920 / 24920
GCD(280, 89) = 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 840, 280, 89, 884 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 280, 89, 884?
GCD of 840, 280, 89, 884 is 1
2. Where do I get the detailed procedure to find GCD of 840, 280, 89, 884?
You can find a detailed procedure to find GCD of 840, 280, 89, 884 on our page.
3. How to find GCD of 840, 280, 89, 884 on a calculator?
You can find the GCD of 840, 280, 89, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.