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, 804, 49 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 804, 49 is 1
GCD(249, 804, 49) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 804, 49 is 1
GCD(249, 804, 49) = 1
Given Input numbers are 249, 804, 49
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 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Greatest Common Divisior
We found the divisors of 249, 804, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 804, 49 is 1.
Therefore, GCD of numbers 249, 804, 49 is 1
Given Input Data is 249, 804, 49
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 49 is 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(249, 804) = 66732
GCD(249, 804) = ( 249 x 804 ) / 66732
GCD(249, 804) = 200196 / 66732
GCD(249, 804) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 49) = 147
GCD(3, 49) = ( 3 x 49 ) / 147
GCD(3, 49) = 147 / 147
GCD(3, 49) = 1
GCD of 249, 804, 49 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 804, 49?
GCD of 249, 804, 49 is 1
2. Where do I get the detailed procedure to find GCD of 249, 804, 49?
You can find a detailed procedure to find GCD of 249, 804, 49 on our page.
3. How to find GCD of 249, 804, 49 on a calculator?
You can find the GCD of 249, 804, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.