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 248, 898, 25, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 898, 25, 414 is 1
GCD(248, 898, 25, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 898, 25, 414 is 1
GCD(248, 898, 25, 414) = 1
Given Input numbers are 248, 898, 25, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 248, 898, 25, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 898, 25, 414 is 1.
Therefore, GCD of numbers 248, 898, 25, 414 is 1
Given Input Data is 248, 898, 25, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 898 is 2 x 449
Prime Factorization of 25 is 5 x 5
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(248, 898) = 111352
GCD(248, 898) = ( 248 x 898 ) / 111352
GCD(248, 898) = 222704 / 111352
GCD(248, 898) = 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 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 248, 898, 25, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 898, 25, 414?
GCD of 248, 898, 25, 414 is 1
2. Where do I get the detailed procedure to find GCD of 248, 898, 25, 414?
You can find a detailed procedure to find GCD of 248, 898, 25, 414 on our page.
3. How to find GCD of 248, 898, 25, 414 on a calculator?
You can find the GCD of 248, 898, 25, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.