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 133, 131, 420, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 131, 420, 388 is 1
GCD(133, 131, 420, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 131, 420, 388 is 1
GCD(133, 131, 420, 388) = 1
Given Input numbers are 133, 131, 420, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 133, 131, 420, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 131, 420, 388 is 1.
Therefore, GCD of numbers 133, 131, 420, 388 is 1
Given Input Data is 133, 131, 420, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 131 is 131
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 388 is 2 x 2 x 97
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(133, 131) = 17423
GCD(133, 131) = ( 133 x 131 ) / 17423
GCD(133, 131) = 17423 / 17423
GCD(133, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 133, 131, 420, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 131, 420, 388?
GCD of 133, 131, 420, 388 is 1
2. Where do I get the detailed procedure to find GCD of 133, 131, 420, 388?
You can find a detailed procedure to find GCD of 133, 131, 420, 388 on our page.
3. How to find GCD of 133, 131, 420, 388 on a calculator?
You can find the GCD of 133, 131, 420, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.