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 370, 884, 25, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 884, 25, 995 is 1
GCD(370, 884, 25, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 884, 25, 995 is 1
GCD(370, 884, 25, 995) = 1
Given Input numbers are 370, 884, 25, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
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 370, 884, 25, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 884, 25, 995 is 1.
Therefore, GCD of numbers 370, 884, 25, 995 is 1
Given Input Data is 370, 884, 25, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 25 is 5 x 5
Prime Factorization of 995 is 5 x 199
The above numbers do not have any common prime factor. So GCD is 1
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(370, 884) = 163540
GCD(370, 884) = ( 370 x 884 ) / 163540
GCD(370, 884) = 327080 / 163540
GCD(370, 884) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 370, 884, 25, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 884, 25, 995?
GCD of 370, 884, 25, 995 is 1
2. Where do I get the detailed procedure to find GCD of 370, 884, 25, 995?
You can find a detailed procedure to find GCD of 370, 884, 25, 995 on our page.
3. How to find GCD of 370, 884, 25, 995 on a calculator?
You can find the GCD of 370, 884, 25, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.