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 827, 104, 310, 562 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 104, 310, 562 is 1
GCD(827, 104, 310, 562) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 104, 310, 562 is 1
GCD(827, 104, 310, 562) = 1
Given Input numbers are 827, 104, 310, 562
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Greatest Common Divisior
We found the divisors of 827, 104, 310, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 104, 310, 562 is 1.
Therefore, GCD of numbers 827, 104, 310, 562 is 1
Given Input Data is 827, 104, 310, 562
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 562 is 2 x 281
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(827, 104) = 86008
GCD(827, 104) = ( 827 x 104 ) / 86008
GCD(827, 104) = 86008 / 86008
GCD(827, 104) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 562
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 562) = 562
GCD(1, 562) = ( 1 x 562 ) / 562
GCD(1, 562) = 562 / 562
GCD(1, 562) = 1
GCD of 827, 104, 310, 562 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 104, 310, 562?
GCD of 827, 104, 310, 562 is 1
2. Where do I get the detailed procedure to find GCD of 827, 104, 310, 562?
You can find a detailed procedure to find GCD of 827, 104, 310, 562 on our page.
3. How to find GCD of 827, 104, 310, 562 on a calculator?
You can find the GCD of 827, 104, 310, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.