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 133, 693, 92, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 693, 92, 321 is 1
GCD(133, 693, 92, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 693, 92, 321 is 1
GCD(133, 693, 92, 321) = 1
Given Input numbers are 133, 693, 92, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 133, 693, 92, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 693, 92, 321 is 1.
Therefore, GCD of numbers 133, 693, 92, 321 is 1
Given Input Data is 133, 693, 92, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 321 is 3 x 107
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(133, 693) = 13167
GCD(133, 693) = ( 133 x 693 ) / 13167
GCD(133, 693) = 92169 / 13167
GCD(133, 693) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 92) = 644
GCD(7, 92) = ( 7 x 92 ) / 644
GCD(7, 92) = 644 / 644
GCD(7, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 133, 693, 92, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 693, 92, 321?
GCD of 133, 693, 92, 321 is 1
2. Where do I get the detailed procedure to find GCD of 133, 693, 92, 321?
You can find a detailed procedure to find GCD of 133, 693, 92, 321 on our page.
3. How to find GCD of 133, 693, 92, 321 on a calculator?
You can find the GCD of 133, 693, 92, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.