Use our free GCF of Fractions Calculator tool to compute the GCF of 998/932, 103/654 i.e 1/304764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/932, 103/654.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 998/932,103/654
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 998/932,103/654, numerators are 998,103
Denominators are 932,654
The GCF of 998,103 is 1 .
LCM of 932,654 is 304764.
The greatest common factor of 998/932,103/654 = [GCF of 998,103]/[LCM of 932,654]= 1/304764
Therefore, the GCF of 998/932,103/654 is 1/304764.
To find the highest common factor of 998,103, we have to find the factors of both numbers and list the highest common factor.
The factors of 998 are 1, 2, 499, 998
The factors of 103 are 1, 103
The HCF of 998,103 is 1.
Lets's calculate GCF of 998,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 998
:1,2,499,998
Now, list down the factors of 103
:1,103
Greatest Common Factor
We found the factors 998,103 . The biggest common factor number is the GCF number.
So the greatest common factor 998,103 is 1.
Lets's calculate LCM of 932,654
2 | 932, 654 |
466, 327 |
∴ So the LCM of the given numbers is 2 x 466 x 327 = 304764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304764
Therefore, the GCF of Fractions 998/932,103/654 is 1/304764
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 932,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,654) x common factors =2 x 1 = 2
LCM(932,654) = ( 932 × 654 ) / 2
LCM(932,654) = 609528 / 2
LCM(932,654) = 304764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 998,103?
The HCF of 998,103 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 998/932, 103/654?
Answer: GCF of Numerators as per given numbers 998/932, 103/654 is
GCF of Numerators i.e. for 998,103 is 1
LCM of denominators i.e. for 932,654 is 304764.
Thus, GCF of Fractions is 1/304764.Finally, GCF of Fractions for 998/932, 103/654 is 1/304764.