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 691, 854, 792, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 854, 792, 363 is 1
GCD(691, 854, 792, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 854, 792, 363 is 1
GCD(691, 854, 792, 363) = 1
Given Input numbers are 691, 854, 792, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 691, 854, 792, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 854, 792, 363 is 1.
Therefore, GCD of numbers 691, 854, 792, 363 is 1
Given Input Data is 691, 854, 792, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 363 is 3 x 11 x 11
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(691, 854) = 590114
GCD(691, 854) = ( 691 x 854 ) / 590114
GCD(691, 854) = 590114 / 590114
GCD(691, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
GCD of 691, 854, 792, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 854, 792, 363?
GCD of 691, 854, 792, 363 is 1
2. Where do I get the detailed procedure to find GCD of 691, 854, 792, 363?
You can find a detailed procedure to find GCD of 691, 854, 792, 363 on our page.
3. How to find GCD of 691, 854, 792, 363 on a calculator?
You can find the GCD of 691, 854, 792, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.