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 293, 691, 99, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 293, 691, 99, 196 is 1
GCD(293, 691, 99, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 293, 691, 99, 196 is 1
GCD(293, 691, 99, 196) = 1
Given Input numbers are 293, 691, 99, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
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 293, 691, 99, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 293, 691, 99, 196 is 1.
Therefore, GCD of numbers 293, 691, 99, 196 is 1
Given Input Data is 293, 691, 99, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 293 is 293
Prime Factorization of 691 is 691
Prime Factorization of 99 is 3 x 3 x 11
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(293, 691) = 202463
GCD(293, 691) = ( 293 x 691 ) / 202463
GCD(293, 691) = 202463 / 202463
GCD(293, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 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 293, 691, 99, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 293, 691, 99, 196?
GCD of 293, 691, 99, 196 is 1
2. Where do I get the detailed procedure to find GCD of 293, 691, 99, 196?
You can find a detailed procedure to find GCD of 293, 691, 99, 196 on our page.
3. How to find GCD of 293, 691, 99, 196 on a calculator?
You can find the GCD of 293, 691, 99, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.