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 901, 315, 805, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 315, 805, 284 is 1
GCD(901, 315, 805, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 315, 805, 284 is 1
GCD(901, 315, 805, 284) = 1
Given Input numbers are 901, 315, 805, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 901, 315, 805, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 315, 805, 284 is 1.
Therefore, GCD of numbers 901, 315, 805, 284 is 1
Given Input Data is 901, 315, 805, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 284 is 2 x 2 x 71
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(901, 315) = 283815
GCD(901, 315) = ( 901 x 315 ) / 283815
GCD(901, 315) = 283815 / 283815
GCD(901, 315) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
GCD of 901, 315, 805, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 315, 805, 284?
GCD of 901, 315, 805, 284 is 1
2. Where do I get the detailed procedure to find GCD of 901, 315, 805, 284?
You can find a detailed procedure to find GCD of 901, 315, 805, 284 on our page.
3. How to find GCD of 901, 315, 805, 284 on a calculator?
You can find the GCD of 901, 315, 805, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.