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 793, 869, 148, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 869, 148, 196 is 1
GCD(793, 869, 148, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 869, 148, 196 is 1
GCD(793, 869, 148, 196) = 1
Given Input numbers are 793, 869, 148, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 793, 869, 148, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 869, 148, 196 is 1.
Therefore, GCD of numbers 793, 869, 148, 196 is 1
Given Input Data is 793, 869, 148, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 869 is 11 x 79
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 196 is 2 x 2 x 7 x 7
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(793, 869) = 689117
GCD(793, 869) = ( 793 x 869 ) / 689117
GCD(793, 869) = 689117 / 689117
GCD(793, 869) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 793, 869, 148, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 869, 148, 196?
GCD of 793, 869, 148, 196 is 1
2. Where do I get the detailed procedure to find GCD of 793, 869, 148, 196?
You can find a detailed procedure to find GCD of 793, 869, 148, 196 on our page.
3. How to find GCD of 793, 869, 148, 196 on a calculator?
You can find the GCD of 793, 869, 148, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.