Use our free GCF of Fractions Calculator tool to compute the GCF of 9998/472, 6973/8444 i.e 1/996392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9998/472, 6973/8444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9998/472,6973/8444
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 9998/472,6973/8444, numerators are 9998,6973
Denominators are 472,8444
The GCF of 9998,6973 is 1 .
LCM of 472,8444 is 996392.
The greatest common factor of 9998/472,6973/8444 = [GCF of 9998,6973]/[LCM of 472,8444]= 1/996392
Therefore, the GCF of 9998/472,6973/8444 is 1/996392.
To find the highest common factor of 9998,6973, we have to find the factors of both numbers and list the highest common factor.
The factors of 9998 are 1, 2, 4999, 9998
The factors of 6973 are 1, 19, 367, 6973
The HCF of 9998,6973 is 1.
Lets's calculate GCF of 9998,6973
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9998
:1,2,4999,9998
Now, list down the factors of 6973
:1,19,367,6973
Greatest Common Factor
We found the factors 9998,6973 . The biggest common factor number is the GCF number.
So the greatest common factor 9998,6973 is 1.
Lets's calculate LCM of 472,8444
2 | 472, 8444 |
2 | 236, 4222 |
118, 2111 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 2111 = 996392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996392
Therefore, the GCF of Fractions 9998/472,6973/8444 is 1/996392
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 472,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,8444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,8444) x common factors =4 x 1 = 4
LCM(472,8444) = ( 472 × 8444 ) / 4
LCM(472,8444) = 3985568 / 4
LCM(472,8444) = 996392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9998,6973?
The HCF of 9998,6973 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 9998/472, 6973/8444?
Answer: GCF of Numerators as per given numbers 9998/472, 6973/8444 is
GCF of Numerators i.e. for 9998,6973 is 1
LCM of denominators i.e. for 472,8444 is 996392.
Thus, GCF of Fractions is 1/996392.Finally, GCF of Fractions for 9998/472, 6973/8444 is 1/996392.