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 99, 349, 262, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 349, 262, 683 is 1
GCD(99, 349, 262, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 349, 262, 683 is 1
GCD(99, 349, 262, 683) = 1
Given Input numbers are 99, 349, 262, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 99, 349, 262, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 349, 262, 683 is 1.
Therefore, GCD of numbers 99, 349, 262, 683 is 1
Given Input Data is 99, 349, 262, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 349 is 349
Prime Factorization of 262 is 2 x 131
Prime Factorization of 683 is 683
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(99, 349) = 34551
GCD(99, 349) = ( 99 x 349 ) / 34551
GCD(99, 349) = 34551 / 34551
GCD(99, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 99, 349, 262, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 349, 262, 683?
GCD of 99, 349, 262, 683 is 1
2. Where do I get the detailed procedure to find GCD of 99, 349, 262, 683?
You can find a detailed procedure to find GCD of 99, 349, 262, 683 on our page.
3. How to find GCD of 99, 349, 262, 683 on a calculator?
You can find the GCD of 99, 349, 262, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.