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 101, 343, 93, 303 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 343, 93, 303 is 1
GCD(101, 343, 93, 303) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 343, 93, 303 is 1
GCD(101, 343, 93, 303) = 1
Given Input numbers are 101, 343, 93, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 101, 343, 93, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 343, 93, 303 is 1.
Therefore, GCD of numbers 101, 343, 93, 303 is 1
Given Input Data is 101, 343, 93, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 93 is 3 x 31
Prime Factorization of 303 is 3 x 101
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(101, 343) = 34643
GCD(101, 343) = ( 101 x 343 ) / 34643
GCD(101, 343) = 34643 / 34643
GCD(101, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 93) = 93
GCD(1, 93) = ( 1 x 93 ) / 93
GCD(1, 93) = 93 / 93
GCD(1, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
GCD of 101, 343, 93, 303 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 343, 93, 303?
GCD of 101, 343, 93, 303 is 1
2. Where do I get the detailed procedure to find GCD of 101, 343, 93, 303?
You can find a detailed procedure to find GCD of 101, 343, 93, 303 on our page.
3. How to find GCD of 101, 343, 93, 303 on a calculator?
You can find the GCD of 101, 343, 93, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.