GCD of 378, 891, 29 Calculator
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, 891, 29 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 891, 29 is 1
GCD(378, 891, 29) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 891, 29 is 1
GCD(378, 891, 29) = 1
GCDof 378,891,29 is 1
Given Input numbers are 378, 891, 29
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 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Greatest Common Divisior
We found the divisors of 378, 891, 29 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 891, 29 is 1.
Therefore, GCD of numbers 378, 891, 29 is 1
Given Input Data is 378, 891, 29
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 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 29 is 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 378, 891, 29 using LCM Formula
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, 891) = 12474
GCD(378, 891) = ( 378 x 891 ) / 12474
GCD(378, 891) = 336798 / 12474
GCD(378, 891) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 29) = 783
GCD(27, 29) = ( 27 x 29 ) / 783
GCD(27, 29) = 783 / 783
GCD(27, 29) = 1
GCD of 378, 891, 29 is 1
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FAQs on GCD of numbers 378, 891, 29
1. What is the GCD of 378, 891, 29?
GCD of 378, 891, 29 is 1
2. Where do I get the detailed procedure to find GCD of 378, 891, 29?
You can find a detailed procedure to find GCD of 378, 891, 29 on our page.
3. How to find GCD of 378, 891, 29 on a calculator?
You can find the GCD of 378, 891, 29 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.