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 909, 424, 83, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 424, 83, 668 is 1
GCD(909, 424, 83, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 424, 83, 668 is 1
GCD(909, 424, 83, 668) = 1
Given Input numbers are 909, 424, 83, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 909, 424, 83, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 424, 83, 668 is 1.
Therefore, GCD of numbers 909, 424, 83, 668 is 1
Given Input Data is 909, 424, 83, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 83 is 83
Prime Factorization of 668 is 2 x 2 x 167
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(909, 424) = 385416
GCD(909, 424) = ( 909 x 424 ) / 385416
GCD(909, 424) = 385416 / 385416
GCD(909, 424) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 909, 424, 83, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 424, 83, 668?
GCD of 909, 424, 83, 668 is 1
2. Where do I get the detailed procedure to find GCD of 909, 424, 83, 668?
You can find a detailed procedure to find GCD of 909, 424, 83, 668 on our page.
3. How to find GCD of 909, 424, 83, 668 on a calculator?
You can find the GCD of 909, 424, 83, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.