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 420, 380, 133, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 380, 133, 855 is 1
GCD(420, 380, 133, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 380, 133, 855 is 1
GCD(420, 380, 133, 855) = 1
Given Input numbers are 420, 380, 133, 855
To find the GCD of numbers using factoring list out all the divisors of each number
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 420, 380, 133, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 380, 133, 855 is 1.
Therefore, GCD of numbers 420, 380, 133, 855 is 1
Given Input Data is 420, 380, 133, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 133 is 7 x 19
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(420, 380) = 7980
GCD(420, 380) = ( 420 x 380 ) / 7980
GCD(420, 380) = 159600 / 7980
GCD(420, 380) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 133) = 2660
GCD(20, 133) = ( 20 x 133 ) / 2660
GCD(20, 133) = 2660 / 2660
GCD(20, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 420, 380, 133, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 380, 133, 855?
GCD of 420, 380, 133, 855 is 1
2. Where do I get the detailed procedure to find GCD of 420, 380, 133, 855?
You can find a detailed procedure to find GCD of 420, 380, 133, 855 on our page.
3. How to find GCD of 420, 380, 133, 855 on a calculator?
You can find the GCD of 420, 380, 133, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.