GCF of 7989/925, 8296/4477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7989/925, 8296/4477 i.e 1/111925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7989/925, 8296/4477.
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 7989/925,8296/4477?
Given fractions are 7989/925,8296/4477
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 7989/925,8296/4477, numerators are 7989,8296
Denominators are 925,4477
The GCF of 7989,8296 is 1 .
LCM of 925,4477 is 111925.
The greatest common factor of 7989/925,8296/4477 = [GCF of 7989,8296]/[LCM of 925,4477]= 1/111925
Therefore, the GCF of 7989/925,8296/4477 is 1/111925.
To find the highest common factor of 7989,8296, we have to find the factors of both numbers and list the highest common factor.
The factors of 7989 are 1, 3, 2663, 7989
The factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296
The HCF of 7989,8296 is 1.
Lets's calculate GCF of 7989,8296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7989,8296 By Matching Biggest Common Factor Method
Now, list down the factors of 7989
:1,3,2663,7989
Now, list down the factors of 8296
:1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Greatest Common Factor
We found the factors 7989,8296 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,8296 is 1.
Lets's calculate LCM of 925,4477
| 37 | 925, 4477 |
| 25, 121 |
∴ So the LCM of the given numbers is 37 x 25 x 121 = 111925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111925
Therefore, the GCF of Fractions 7989/925,8296/4477 is 1/111925
Least Common Multiple of 925,4477 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 925,4477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,4477) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(925,4477) x common factors =37 x 1 = 37
LCM(925,4477) = ( 925 × 4477 ) / 37
LCM(925,4477) = 4141225 / 37
LCM(925,4477) = 111925
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FAQs on GCF of Fractions of 7989/925, 8296/4477
1. What is the HCF of 7989,8296?
The HCF of 7989,8296 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 7989/925, 8296/4477?
Answer: GCF of Numerators as per given numbers 7989/925, 8296/4477 is
GCF of Numerators i.e. for 7989,8296 is 1
LCM of denominators i.e. for 925,4477 is 111925.
Thus, GCF of Fractions is 1/111925.Finally, GCF of Fractions for 7989/925, 8296/4477 is 1/111925.