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 376, 412, 78, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 376, 412, 78, 433 is 1
GCD(376, 412, 78, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 412, 78, 433 is 1
GCD(376, 412, 78, 433) = 1
Given Input numbers are 376, 412, 78, 433
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 376, 412, 78, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 412, 78, 433 is 1.
Therefore, GCD of numbers 376, 412, 78, 433 is 1
Given Input Data is 376, 412, 78, 433
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 433 is 433
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(376, 412) = 38728
GCD(376, 412) = ( 376 x 412 ) / 38728
GCD(376, 412) = 154912 / 38728
GCD(376, 412) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 78) = 156
GCD(4, 78) = ( 4 x 78 ) / 156
GCD(4, 78) = 312 / 156
GCD(4, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 433) = 866
GCD(2, 433) = ( 2 x 433 ) / 866
GCD(2, 433) = 866 / 866
GCD(2, 433) = 1
GCD of 376, 412, 78, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 412, 78, 433?
GCD of 376, 412, 78, 433 is 1
2. Where do I get the detailed procedure to find GCD of 376, 412, 78, 433?
You can find a detailed procedure to find GCD of 376, 412, 78, 433 on our page.
3. How to find GCD of 376, 412, 78, 433 on a calculator?
You can find the GCD of 376, 412, 78, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.