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 343, 788, 60, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 788, 60, 372 is 1
GCD(343, 788, 60, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 788, 60, 372 is 1
GCD(343, 788, 60, 372) = 1
Given Input numbers are 343, 788, 60, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
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 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 343, 788, 60, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 788, 60, 372 is 1.
Therefore, GCD of numbers 343, 788, 60, 372 is 1
Given Input Data is 343, 788, 60, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(343, 788) = 270284
GCD(343, 788) = ( 343 x 788 ) / 270284
GCD(343, 788) = 270284 / 270284
GCD(343, 788) = 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 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 343, 788, 60, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 788, 60, 372?
GCD of 343, 788, 60, 372 is 1
2. Where do I get the detailed procedure to find GCD of 343, 788, 60, 372?
You can find a detailed procedure to find GCD of 343, 788, 60, 372 on our page.
3. How to find GCD of 343, 788, 60, 372 on a calculator?
You can find the GCD of 343, 788, 60, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.