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, 725, 78, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 725, 78, 774 is 1
GCD(248, 725, 78, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 725, 78, 774 is 1
GCD(248, 725, 78, 774) = 1
Given Input numbers are 248, 725, 78, 774
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 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 248, 725, 78, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 725, 78, 774 is 1.
Therefore, GCD of numbers 248, 725, 78, 774 is 1
Given Input Data is 248, 725, 78, 774
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 725 is 5 x 5 x 29
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 774 is 2 x 3 x 3 x 43
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, 725) = 179800
GCD(248, 725) = ( 248 x 725 ) / 179800
GCD(248, 725) = 179800 / 179800
GCD(248, 725) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 248, 725, 78, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 725, 78, 774?
GCD of 248, 725, 78, 774 is 1
2. Where do I get the detailed procedure to find GCD of 248, 725, 78, 774?
You can find a detailed procedure to find GCD of 248, 725, 78, 774 on our page.
3. How to find GCD of 248, 725, 78, 774 on a calculator?
You can find the GCD of 248, 725, 78, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.