GCF of 9924/275, 6865/4246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9924/275, 6865/4246 i.e 1/106150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9924/275, 6865/4246.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9924/275,6865/4246?
Given fractions are 9924/275,6865/4246
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 9924/275,6865/4246, numerators are 9924,6865
Denominators are 275,4246
The GCF of 9924,6865 is 1 .
LCM of 275,4246 is 106150.
The greatest common factor of 9924/275,6865/4246 = [GCF of 9924,6865]/[LCM of 275,4246]= 1/106150
Therefore, the GCF of 9924/275,6865/4246 is 1/106150.
To find the highest common factor of 9924,6865, we have to find the factors of both numbers and list the highest common factor.
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The factors of 6865 are 1, 5, 1373, 6865
The HCF of 9924,6865 is 1.
Lets's calculate GCF of 9924,6865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9924,6865 By Matching Biggest Common Factor Method
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Now, list down the factors of 6865
:1,5,1373,6865
Greatest Common Factor
We found the factors 9924,6865 . The biggest common factor number is the GCF number.
So the greatest common factor 9924,6865 is 1.
Lets's calculate LCM of 275,4246
| 11 | 275, 4246 |
| 25, 386 |
∴ So the LCM of the given numbers is 11 x 25 x 386 = 106150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106150
Therefore, the GCF of Fractions 9924/275,6865/4246 is 1/106150
Least Common Multiple of 275,4246 with GCF Formula
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 275,4246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,4246) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,4246) x common factors =11 x 1 = 11
LCM(275,4246) = ( 275 × 4246 ) / 11
LCM(275,4246) = 1167650 / 11
LCM(275,4246) = 106150
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9924/275, 6865/4246
1. What is the HCF of 9924,6865?
The HCF of 9924,6865 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 9924/275, 6865/4246?
Answer: GCF of Numerators as per given numbers 9924/275, 6865/4246 is
GCF of Numerators i.e. for 9924,6865 is 1
LCM of denominators i.e. for 275,4246 is 106150.
Thus, GCF of Fractions is 1/106150.Finally, GCF of Fractions for 9924/275, 6865/4246 is 1/106150.