Use our free GCF of Fractions Calculator tool to compute the GCF of 1/99, 29/17, 98/318, 243/382 i.e 1/34074018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/99, 29/17, 98/318, 243/382.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/99,29/17,98/318,243/382
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1/99,29/17,98/318,243/382, numerators are 1,29,98,243
Denominators are 99,17,318,382
The GCF of 1,29,98,243 is 1 .
LCM of 99,17,318,382 is 34074018.
The greatest common factor of 1/99,29/17,98/318,243/382 = [GCF of 1,29,98,243]/[LCM of 99,17,318,382]= 1/34074018
Therefore, the GCF of 1/99,29/17,98/318,243/382 is 1/34074018.
To find the highest common factor of 1,29,98,243, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 29 are 1, 29
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 243 are 1, 3, 9, 27, 81, 243
The HCF of 1,29,98,243 is 1.
Lets's calculate GCF of 1,29,98,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 29
:1,29
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 243
:1,3,9,27,81,243
Greatest Common Factor
We found the factors 1,29,98,243 . The biggest common factor number is the GCF number.
So the greatest common factor 1,29,98,243 is 1.
Lets's calculate LCM of 99,17,318,382
2 | 99, 17, 318, 382 |
3 | 99, 17, 159, 191 |
33, 17, 53, 191 |
∴ So the LCM of the given numbers is 2 x 3 x 33 x 17 x 53 x 191 = 34074018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34074018
Therefore, the GCF of Fractions 1/99,29/17,98/318,243/382 is 1/34074018
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 99,17,318,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,17,318,382) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(99,17,318,382) x common factors =1 x 6 = 6
LCM(99,17,318,382) = ( 99 × 17 × 318 × 382 ) / 6
LCM(99,17,318,382) = 204444108 / 6
LCM(99,17,318,382) = 34074018
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,29,98,243?
The HCF of 1,29,98,243 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1/99, 29/17, 98/318, 243/382?
Answer: GCF of Numerators as per given numbers 1/99, 29/17, 98/318, 243/382 is
GCF of Numerators i.e. for 1,29,98,243 is 1
LCM of denominators i.e. for 99,17,318,382 is 34074018.
Thus, GCF of Fractions is 1/34074018.Finally, GCF of Fractions for 1/99, 29/17, 98/318, 243/382 is 1/34074018.