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 249, 300, 78, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 300, 78, 341 is 1
GCD(249, 300, 78, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 300, 78, 341 is 1
GCD(249, 300, 78, 341) = 1
Given Input numbers are 249, 300, 78, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 249, 300, 78, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 300, 78, 341 is 1.
Therefore, GCD of numbers 249, 300, 78, 341 is 1
Given Input Data is 249, 300, 78, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 341 is 11 x 31
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(249, 300) = 24900
GCD(249, 300) = ( 249 x 300 ) / 24900
GCD(249, 300) = 74700 / 24900
GCD(249, 300) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 78) = 78
GCD(3, 78) = ( 3 x 78 ) / 78
GCD(3, 78) = 234 / 78
GCD(3, 78) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 341) = 1023
GCD(3, 341) = ( 3 x 341 ) / 1023
GCD(3, 341) = 1023 / 1023
GCD(3, 341) = 1
GCD of 249, 300, 78, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 300, 78, 341?
GCD of 249, 300, 78, 341 is 1
2. Where do I get the detailed procedure to find GCD of 249, 300, 78, 341?
You can find a detailed procedure to find GCD of 249, 300, 78, 341 on our page.
3. How to find GCD of 249, 300, 78, 341 on a calculator?
You can find the GCD of 249, 300, 78, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.