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 380, 176, 57, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 176, 57, 812 is 1
GCD(380, 176, 57, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 176, 57, 812 is 1
GCD(380, 176, 57, 812) = 1
Given Input numbers are 380, 176, 57, 812
To find the GCD of numbers using factoring list out all the divisors of each number
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 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
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
Greatest Common Divisior
We found the divisors of 380, 176, 57, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 176, 57, 812 is 1.
Therefore, GCD of numbers 380, 176, 57, 812 is 1
Given Input Data is 380, 176, 57, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 57 is 3 x 19
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(380, 176) = 16720
GCD(380, 176) = ( 380 x 176 ) / 16720
GCD(380, 176) = 66880 / 16720
GCD(380, 176) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 57) = 228
GCD(4, 57) = ( 4 x 57 ) / 228
GCD(4, 57) = 228 / 228
GCD(4, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 380, 176, 57, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 176, 57, 812?
GCD of 380, 176, 57, 812 is 1
2. Where do I get the detailed procedure to find GCD of 380, 176, 57, 812?
You can find a detailed procedure to find GCD of 380, 176, 57, 812 on our page.
3. How to find GCD of 380, 176, 57, 812 on a calculator?
You can find the GCD of 380, 176, 57, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.