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, 101, 956, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 101, 956, 423 is 1
GCD(99, 101, 956, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 101, 956, 423 is 1
GCD(99, 101, 956, 423) = 1
Given Input numbers are 99, 101, 956, 423
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 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 99, 101, 956, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 101, 956, 423 is 1.
Therefore, GCD of numbers 99, 101, 956, 423 is 1
Given Input Data is 99, 101, 956, 423
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 101 is 101
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 423 is 3 x 3 x 47
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, 101) = 9999
GCD(99, 101) = ( 99 x 101 ) / 9999
GCD(99, 101) = 9999 / 9999
GCD(99, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 99, 101, 956, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 101, 956, 423?
GCD of 99, 101, 956, 423 is 1
2. Where do I get the detailed procedure to find GCD of 99, 101, 956, 423?
You can find a detailed procedure to find GCD of 99, 101, 956, 423 on our page.
3. How to find GCD of 99, 101, 956, 423 on a calculator?
You can find the GCD of 99, 101, 956, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.