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 794, 240, 875, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 794, 240, 875, 827 is 1
GCD(794, 240, 875, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 240, 875, 827 is 1
GCD(794, 240, 875, 827) = 1
Given Input numbers are 794, 240, 875, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 794, 240, 875, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 240, 875, 827 is 1.
Therefore, GCD of numbers 794, 240, 875, 827 is 1
Given Input Data is 794, 240, 875, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 827 is 827
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(794, 240) = 95280
GCD(794, 240) = ( 794 x 240 ) / 95280
GCD(794, 240) = 190560 / 95280
GCD(794, 240) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 875) = 1750
GCD(2, 875) = ( 2 x 875 ) / 1750
GCD(2, 875) = 1750 / 1750
GCD(2, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 794, 240, 875, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 240, 875, 827?
GCD of 794, 240, 875, 827 is 1
2. Where do I get the detailed procedure to find GCD of 794, 240, 875, 827?
You can find a detailed procedure to find GCD of 794, 240, 875, 827 on our page.
3. How to find GCD of 794, 240, 875, 827 on a calculator?
You can find the GCD of 794, 240, 875, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.