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 377, 812, 12, 286 i.e. 1 largest integer that divides all the numbers equally.
GCD of 377, 812, 12, 286 is 1
GCD(377, 812, 12, 286) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 377, 812, 12, 286 is 1
GCD(377, 812, 12, 286) = 1
Given Input numbers are 377, 812, 12, 286
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Greatest Common Divisior
We found the divisors of 377, 812, 12, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 812, 12, 286 is 1.
Therefore, GCD of numbers 377, 812, 12, 286 is 1
Given Input Data is 377, 812, 12, 286
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 377 is 13 x 29
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 286 is 2 x 11 x 13
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(377, 812) = 10556
GCD(377, 812) = ( 377 x 812 ) / 10556
GCD(377, 812) = 306124 / 10556
GCD(377, 812) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 12) = 348
GCD(29, 12) = ( 29 x 12 ) / 348
GCD(29, 12) = 348 / 348
GCD(29, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
GCD of 377, 812, 12, 286 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 377, 812, 12, 286?
GCD of 377, 812, 12, 286 is 1
2. Where do I get the detailed procedure to find GCD of 377, 812, 12, 286?
You can find a detailed procedure to find GCD of 377, 812, 12, 286 on our page.
3. How to find GCD of 377, 812, 12, 286 on a calculator?
You can find the GCD of 377, 812, 12, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.