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 378, 371, 28, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 371, 28, 776 is 1
GCD(378, 371, 28, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 371, 28, 776 is 1
GCD(378, 371, 28, 776) = 1
Given Input numbers are 378, 371, 28, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 378, 371, 28, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 371, 28, 776 is 1.
Therefore, GCD of numbers 378, 371, 28, 776 is 1
Given Input Data is 378, 371, 28, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 371 is 7 x 53
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 776 is 2 x 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(378, 371) = 20034
GCD(378, 371) = ( 378 x 371 ) / 20034
GCD(378, 371) = 140238 / 20034
GCD(378, 371) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 28) = 28
GCD(7, 28) = ( 7 x 28 ) / 28
GCD(7, 28) = 196 / 28
GCD(7, 28) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 776) = 5432
GCD(7, 776) = ( 7 x 776 ) / 5432
GCD(7, 776) = 5432 / 5432
GCD(7, 776) = 1
GCD of 378, 371, 28, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 371, 28, 776?
GCD of 378, 371, 28, 776 is 1
2. Where do I get the detailed procedure to find GCD of 378, 371, 28, 776?
You can find a detailed procedure to find GCD of 378, 371, 28, 776 on our page.
3. How to find GCD of 378, 371, 28, 776 on a calculator?
You can find the GCD of 378, 371, 28, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.