GCD of 788, 878, 355 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 788, 878, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 878, 355 is 1
GCD(788, 878, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 878, 355 is 1
GCD(788, 878, 355) = 1
GCDof 788,878,355 is 1
Given Input numbers are 788, 878, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 788, 878, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 878, 355 is 1.
Therefore, GCD of numbers 788, 878, 355 is 1
Given Input Data is 788, 878, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 878 is 2 x 439
Prime Factorization of 355 is 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 788, 878, 355 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(788, 878) = 345932
GCD(788, 878) = ( 788 x 878 ) / 345932
GCD(788, 878) = 691864 / 345932
GCD(788, 878) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
GCD(2, 355) = 710 / 710
GCD(2, 355) = 1
GCD of 788, 878, 355 is 1
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FAQs on GCD of numbers 788, 878, 355
1. What is the GCD of 788, 878, 355?
GCD of 788, 878, 355 is 1
2. Where do I get the detailed procedure to find GCD of 788, 878, 355?
You can find a detailed procedure to find GCD of 788, 878, 355 on our page.
3. How to find GCD of 788, 878, 355 on a calculator?
You can find the GCD of 788, 878, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.