Use our free GCF of Fractions Calculator tool to compute the GCF of 34/998, 44/8549 i.e 2/8531902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/998, 44/8549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/998,44/8549
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 34/998,44/8549, numerators are 34,44
Denominators are 998,8549
The GCF of 34,44 is 2 .
LCM of 998,8549 is 8531902.
The greatest common factor of 34/998,44/8549 = [GCF of 34,44]/[LCM of 998,8549]= 2/8531902
Therefore, the GCF of 34/998,44/8549 is 2/8531902.
To find the highest common factor of 34,44, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 44 are 1, 2, 4, 11, 22, 44
The HCF of 34,44 is 2.
Lets's calculate GCF of 34,44
2 | 34, 44 |
17, 22 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 44
:1,2,4,11,22,44
Greatest Common Factor
We found the factors 34,44 . The biggest common factor number is the GCF number.
So the greatest common factor 34,44 is 2.
Lets's calculate LCM of 998,8549
Given numbers has no common factors except 1. So, there LCM is their product i.e 8531902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8531902
Therefore, the GCF of Fractions 34/998,44/8549 is 2/8531902
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 998,8549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,8549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,8549) x common factors =1 x 1 = 1
LCM(998,8549) = ( 998 × 8549 ) / 1
LCM(998,8549) = 8531902 / 1
LCM(998,8549) = 8531902
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,44?
The HCF of 34,44 is 2
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 34/998, 44/8549?
Answer: GCF of Numerators as per given numbers 34/998, 44/8549 is
GCF of Numerators i.e. for 34,44 is 2
LCM of denominators i.e. for 998,8549 is 8531902.
Thus, GCF of Fractions is 2/8531902.Finally, GCF of Fractions for 34/998, 44/8549 is 2/8531902.