GCF of 8911/849, 5075/4320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8911/849, 5075/4320 i.e 7/1222560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8911/849, 5075/4320.
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 8911/849,5075/4320?
Given fractions are 8911/849,5075/4320
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 8911/849,5075/4320, numerators are 8911,5075
Denominators are 849,4320
The GCF of 8911,5075 is 7 .
LCM of 849,4320 is 1222560.
The greatest common factor of 8911/849,5075/4320 = [GCF of 8911,5075]/[LCM of 849,4320]= 7/1222560
Therefore, the GCF of 8911/849,5075/4320 is 7/1222560.
To find the highest common factor of 8911,5075, we have to find the factors of both numbers and list the highest common factor.
The factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911
The factors of 5075 are 1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015, 5075
The HCF of 8911,5075 is 7.
Lets's calculate GCF of 8911,5075
| 7 | 8911, 5075 |
| 1273, 725 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8911,5075 By Matching Biggest Common Factor Method
Now, list down the factors of 8911
:1,7,19,67,133,469,1273,8911
Now, list down the factors of 5075
:1,5,7,25,29,35,145,175,203,725,1015,5075
Greatest Common Factor
We found the factors 8911,5075 . The biggest common factor number is the GCF number.
So the greatest common factor 8911,5075 is 7.
Lets's calculate LCM of 849,4320
| 3 | 849, 4320 |
| 283, 1440 |
∴ So the LCM of the given numbers is 3 x 283 x 1440 = 1222560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1222560
Therefore, the GCF of Fractions 8911/849,5075/4320 is 7/1222560
Least Common Multiple of 849,4320 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 849,4320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,4320) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,4320) x common factors =3 x 1 = 3
LCM(849,4320) = ( 849 × 4320 ) / 3
LCM(849,4320) = 3667680 / 3
LCM(849,4320) = 1222560
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8911/849, 5075/4320
1. What is the HCF of 8911,5075?
The HCF of 8911,5075 is 7
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 8911/849, 5075/4320?
Answer: GCF of Numerators as per given numbers 8911/849, 5075/4320 is
GCF of Numerators i.e. for 8911,5075 is 7
LCM of denominators i.e. for 849,4320 is 1222560.
Thus, GCF of Fractions is 7/1222560.Finally, GCF of Fractions for 8911/849, 5075/4320 is 7/1222560.