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 440, 796, 595, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 796, 595, 986 is 1
GCD(440, 796, 595, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 796, 595, 986 is 1
GCD(440, 796, 595, 986) = 1
Given Input numbers are 440, 796, 595, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 440, 796, 595, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 796, 595, 986 is 1.
Therefore, GCD of numbers 440, 796, 595, 986 is 1
Given Input Data is 440, 796, 595, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 986 is 2 x 17 x 29
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(440, 796) = 87560
GCD(440, 796) = ( 440 x 796 ) / 87560
GCD(440, 796) = 350240 / 87560
GCD(440, 796) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 595) = 2380
GCD(4, 595) = ( 4 x 595 ) / 2380
GCD(4, 595) = 2380 / 2380
GCD(4, 595) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 440, 796, 595, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 796, 595, 986?
GCD of 440, 796, 595, 986 is 1
2. Where do I get the detailed procedure to find GCD of 440, 796, 595, 986?
You can find a detailed procedure to find GCD of 440, 796, 595, 986 on our page.
3. How to find GCD of 440, 796, 595, 986 on a calculator?
You can find the GCD of 440, 796, 595, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.