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 683, 245, 424, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 683, 245, 424, 120 is 1
GCD(683, 245, 424, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 683, 245, 424, 120 is 1
GCD(683, 245, 424, 120) = 1
Given Input numbers are 683, 245, 424, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
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 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 683, 245, 424, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 245, 424, 120 is 1.
Therefore, GCD of numbers 683, 245, 424, 120 is 1
Given Input Data is 683, 245, 424, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 683 is 683
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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(683, 245) = 167335
GCD(683, 245) = ( 683 x 245 ) / 167335
GCD(683, 245) = 167335 / 167335
GCD(683, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 683, 245, 424, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 683, 245, 424, 120?
GCD of 683, 245, 424, 120 is 1
2. Where do I get the detailed procedure to find GCD of 683, 245, 424, 120?
You can find a detailed procedure to find GCD of 683, 245, 424, 120 on our page.
3. How to find GCD of 683, 245, 424, 120 on a calculator?
You can find the GCD of 683, 245, 424, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.