Use our free GCF of Fractions Calculator tool to compute the GCF of 9918/174, 1577/4805 i.e 19/836070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9918/174, 1577/4805.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9918/174,1577/4805
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 9918/174,1577/4805, numerators are 9918,1577
Denominators are 174,4805
The GCF of 9918,1577 is 19 .
LCM of 174,4805 is 836070.
The greatest common factor of 9918/174,1577/4805 = [GCF of 9918,1577]/[LCM of 174,4805]= 19/836070
Therefore, the GCF of 9918/174,1577/4805 is 19/836070.
To find the highest common factor of 9918,1577, we have to find the factors of both numbers and list the highest common factor.
The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
The factors of 1577 are 1, 19, 83, 1577
The HCF of 9918,1577 is 19.
Lets's calculate GCF of 9918,1577
19 | 9918, 1577 |
522, 83 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 9918
:1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Now, list down the factors of 1577
:1,19,83,1577
Greatest Common Factor
We found the factors 9918,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,1577 is 19.
Lets's calculate LCM of 174,4805
Given numbers has no common factors except 1. So, there LCM is their product i.e 836070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/836070
Therefore, the GCF of Fractions 9918/174,1577/4805 is 19/836070
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 174,4805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,4805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,4805) x common factors =1 x 1 = 1
LCM(174,4805) = ( 174 × 4805 ) / 1
LCM(174,4805) = 836070 / 1
LCM(174,4805) = 836070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9918,1577?
The HCF of 9918,1577 is 19
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 9918/174, 1577/4805?
Answer: GCF of Numerators as per given numbers 9918/174, 1577/4805 is
GCF of Numerators i.e. for 9918,1577 is 19
LCM of denominators i.e. for 174,4805 is 836070.
Thus, GCF of Fractions is 19/836070.Finally, GCF of Fractions for 9918/174, 1577/4805 is 19/836070.