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 845, 250, 495 i.e. 5 largest integer that divides all the numbers equally.
GCD of 845, 250, 495 is 5
GCD(845, 250, 495) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 250, 495 is 5
GCD(845, 250, 495) = 5
Given Input numbers are 845, 250, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
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 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 845, 250, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 250, 495 is 5.
Therefore, GCD of numbers 845, 250, 495 is 5
Given Input Data is 845, 250, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 495 is 3 x 3 x 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(845, 250) = 42250
GCD(845, 250) = ( 845 x 250 ) / 42250
GCD(845, 250) = 211250 / 42250
GCD(845, 250) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 495) = 495
GCD(5, 495) = ( 5 x 495 ) / 495
GCD(5, 495) = 2475 / 495
GCD(5, 495) = 5
GCD of 845, 250, 495 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 250, 495?
GCD of 845, 250, 495 is 5
2. Where do I get the detailed procedure to find GCD of 845, 250, 495?
You can find a detailed procedure to find GCD of 845, 250, 495 on our page.
3. How to find GCD of 845, 250, 495 on a calculator?
You can find the GCD of 845, 250, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.