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 325, 775, 60, 995 i.e. 5 largest integer that divides all the numbers equally.
GCD of 325, 775, 60, 995 is 5
GCD(325, 775, 60, 995) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 775, 60, 995 is 5
GCD(325, 775, 60, 995) = 5
Given Input numbers are 325, 775, 60, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 325, 775, 60, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 775, 60, 995 is 5.
Therefore, GCD of numbers 325, 775, 60, 995 is 5
Given Input Data is 325, 775, 60, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 995 is 5 x 199
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(325, 775) = 10075
GCD(325, 775) = ( 325 x 775 ) / 10075
GCD(325, 775) = 251875 / 10075
GCD(325, 775) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 60) = 300
GCD(25, 60) = ( 25 x 60 ) / 300
GCD(25, 60) = 1500 / 300
GCD(25, 60) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 995) = 995
GCD(5, 995) = ( 5 x 995 ) / 995
GCD(5, 995) = 4975 / 995
GCD(5, 995) = 5
GCD of 325, 775, 60, 995 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 775, 60, 995?
GCD of 325, 775, 60, 995 is 5
2. Where do I get the detailed procedure to find GCD of 325, 775, 60, 995?
You can find a detailed procedure to find GCD of 325, 775, 60, 995 on our page.
3. How to find GCD of 325, 775, 60, 995 on a calculator?
You can find the GCD of 325, 775, 60, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.