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 705, 284, 837, 287 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 284, 837, 287 is 1
GCD(705, 284, 837, 287) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 284, 837, 287 is 1
GCD(705, 284, 837, 287) = 1
Given Input numbers are 705, 284, 837, 287
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Greatest Common Divisior
We found the divisors of 705, 284, 837, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 284, 837, 287 is 1.
Therefore, GCD of numbers 705, 284, 837, 287 is 1
Given Input Data is 705, 284, 837, 287
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 287 is 7 x 41
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(705, 284) = 200220
GCD(705, 284) = ( 705 x 284 ) / 200220
GCD(705, 284) = 200220 / 200220
GCD(705, 284) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 287) = 287
GCD(1, 287) = ( 1 x 287 ) / 287
GCD(1, 287) = 287 / 287
GCD(1, 287) = 1
GCD of 705, 284, 837, 287 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 284, 837, 287?
GCD of 705, 284, 837, 287 is 1
2. Where do I get the detailed procedure to find GCD of 705, 284, 837, 287?
You can find a detailed procedure to find GCD of 705, 284, 837, 287 on our page.
3. How to find GCD of 705, 284, 837, 287 on a calculator?
You can find the GCD of 705, 284, 837, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.