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 76, 794, 805, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 794, 805, 635 is 1
GCD(76, 794, 805, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 794, 805, 635 is 1
GCD(76, 794, 805, 635) = 1
Given Input numbers are 76, 794, 805, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
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 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 76, 794, 805, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 794, 805, 635 is 1.
Therefore, GCD of numbers 76, 794, 805, 635 is 1
Given Input Data is 76, 794, 805, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 794 is 2 x 397
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 635 is 5 x 127
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(76, 794) = 30172
GCD(76, 794) = ( 76 x 794 ) / 30172
GCD(76, 794) = 60344 / 30172
GCD(76, 794) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 805) = 1610
GCD(2, 805) = ( 2 x 805 ) / 1610
GCD(2, 805) = 1610 / 1610
GCD(2, 805) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 76, 794, 805, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 794, 805, 635?
GCD of 76, 794, 805, 635 is 1
2. Where do I get the detailed procedure to find GCD of 76, 794, 805, 635?
You can find a detailed procedure to find GCD of 76, 794, 805, 635 on our page.
3. How to find GCD of 76, 794, 805, 635 on a calculator?
You can find the GCD of 76, 794, 805, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.