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 395, 250, 55 i.e. 5 largest integer that divides all the numbers equally.
GCD of 395, 250, 55 is 5
GCD(395, 250, 55) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 250, 55 is 5
GCD(395, 250, 55) = 5
Given Input numbers are 395, 250, 55
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Greatest Common Divisior
We found the divisors of 395, 250, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 250, 55 is 5.
Therefore, GCD of numbers 395, 250, 55 is 5
Given Input Data is 395, 250, 55
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 55 is 5 x 11
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(395, 250) = 19750
GCD(395, 250) = ( 395 x 250 ) / 19750
GCD(395, 250) = 98750 / 19750
GCD(395, 250) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 55) = 55
GCD(5, 55) = ( 5 x 55 ) / 55
GCD(5, 55) = 275 / 55
GCD(5, 55) = 5
GCD of 395, 250, 55 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 250, 55?
GCD of 395, 250, 55 is 5
2. Where do I get the detailed procedure to find GCD of 395, 250, 55?
You can find a detailed procedure to find GCD of 395, 250, 55 on our page.
3. How to find GCD of 395, 250, 55 on a calculator?
You can find the GCD of 395, 250, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.