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 25, 399, 245, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 399, 245, 616 is 1
GCD(25, 399, 245, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 399, 245, 616 is 1
GCD(25, 399, 245, 616) = 1
Given Input numbers are 25, 399, 245, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 25, 399, 245, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 399, 245, 616 is 1.
Therefore, GCD of numbers 25, 399, 245, 616 is 1
Given Input Data is 25, 399, 245, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(25, 399) = 9975
GCD(25, 399) = ( 25 x 399 ) / 9975
GCD(25, 399) = 9975 / 9975
GCD(25, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 25, 399, 245, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 399, 245, 616?
GCD of 25, 399, 245, 616 is 1
2. Where do I get the detailed procedure to find GCD of 25, 399, 245, 616?
You can find a detailed procedure to find GCD of 25, 399, 245, 616 on our page.
3. How to find GCD of 25, 399, 245, 616 on a calculator?
You can find the GCD of 25, 399, 245, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.