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, 248, 433, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 248, 433, 980 is 1
GCD(25, 248, 433, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 248, 433, 980 is 1
GCD(25, 248, 433, 980) = 1
Given Input numbers are 25, 248, 433, 980
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 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 25, 248, 433, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 248, 433, 980 is 1.
Therefore, GCD of numbers 25, 248, 433, 980 is 1
Given Input Data is 25, 248, 433, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 433 is 433
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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, 248) = 6200
GCD(25, 248) = ( 25 x 248 ) / 6200
GCD(25, 248) = 6200 / 6200
GCD(25, 248) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 433) = 433
GCD(1, 433) = ( 1 x 433 ) / 433
GCD(1, 433) = 433 / 433
GCD(1, 433) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 25, 248, 433, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 248, 433, 980?
GCD of 25, 248, 433, 980 is 1
2. Where do I get the detailed procedure to find GCD of 25, 248, 433, 980?
You can find a detailed procedure to find GCD of 25, 248, 433, 980 on our page.
3. How to find GCD of 25, 248, 433, 980 on a calculator?
You can find the GCD of 25, 248, 433, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.