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 344, 711, 60, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 711, 60, 430 is 1
GCD(344, 711, 60, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 711, 60, 430 is 1
GCD(344, 711, 60, 430) = 1
Given Input numbers are 344, 711, 60, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 344, 711, 60, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 711, 60, 430 is 1.
Therefore, GCD of numbers 344, 711, 60, 430 is 1
Given Input Data is 344, 711, 60, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 430 is 2 x 5 x 43
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(344, 711) = 244584
GCD(344, 711) = ( 344 x 711 ) / 244584
GCD(344, 711) = 244584 / 244584
GCD(344, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 344, 711, 60, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 711, 60, 430?
GCD of 344, 711, 60, 430 is 1
2. Where do I get the detailed procedure to find GCD of 344, 711, 60, 430?
You can find a detailed procedure to find GCD of 344, 711, 60, 430 on our page.
3. How to find GCD of 344, 711, 60, 430 on a calculator?
You can find the GCD of 344, 711, 60, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.