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, 298, 77, 416 i.e. 1 largest integer that divides all the numbers equally.
GCD of 794, 298, 77, 416 is 1
GCD(794, 298, 77, 416) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 298, 77, 416 is 1
GCD(794, 298, 77, 416) = 1
Given Input numbers are 794, 298, 77, 416
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 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 794, 298, 77, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 298, 77, 416 is 1.
Therefore, GCD of numbers 794, 298, 77, 416 is 1
Given Input Data is 794, 298, 77, 416
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 298 is 2 x 149
Prime Factorization of 77 is 7 x 11
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
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, 298) = 118306
GCD(794, 298) = ( 794 x 298 ) / 118306
GCD(794, 298) = 236612 / 118306
GCD(794, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
GCD of 794, 298, 77, 416 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 298, 77, 416?
GCD of 794, 298, 77, 416 is 1
2. Where do I get the detailed procedure to find GCD of 794, 298, 77, 416?
You can find a detailed procedure to find GCD of 794, 298, 77, 416 on our page.
3. How to find GCD of 794, 298, 77, 416 on a calculator?
You can find the GCD of 794, 298, 77, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.