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 424, 168, 301, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 168, 301, 680 is 1
GCD(424, 168, 301, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 168, 301, 680 is 1
GCD(424, 168, 301, 680) = 1
Given Input numbers are 424, 168, 301, 680
To find the GCD of numbers using factoring list out all the divisors of each number
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 424, 168, 301, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 168, 301, 680 is 1.
Therefore, GCD of numbers 424, 168, 301, 680 is 1
Given Input Data is 424, 168, 301, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 301 is 7 x 43
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(424, 168) = 8904
GCD(424, 168) = ( 424 x 168 ) / 8904
GCD(424, 168) = 71232 / 8904
GCD(424, 168) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 301) = 2408
GCD(8, 301) = ( 8 x 301 ) / 2408
GCD(8, 301) = 2408 / 2408
GCD(8, 301) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 424, 168, 301, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 168, 301, 680?
GCD of 424, 168, 301, 680 is 1
2. Where do I get the detailed procedure to find GCD of 424, 168, 301, 680?
You can find a detailed procedure to find GCD of 424, 168, 301, 680 on our page.
3. How to find GCD of 424, 168, 301, 680 on a calculator?
You can find the GCD of 424, 168, 301, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.