GCF of 8309/384, 9775/4956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8309/384, 9775/4956 i.e 1/158592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8309/384, 9775/4956.
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 8309/384,9775/4956?
Given fractions are 8309/384,9775/4956
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 8309/384,9775/4956, numerators are 8309,9775
Denominators are 384,4956
The GCF of 8309,9775 is 1 .
LCM of 384,4956 is 158592.
The greatest common factor of 8309/384,9775/4956 = [GCF of 8309,9775]/[LCM of 384,4956]= 1/158592
Therefore, the GCF of 8309/384,9775/4956 is 1/158592.
To find the highest common factor of 8309,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 8309 are 1, 7, 1187, 8309
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 8309,9775 is 1.
Lets's calculate GCF of 8309,9775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8309,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 8309
:1,7,1187,8309
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 8309,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 8309,9775 is 1.
Lets's calculate LCM of 384,4956
| 2 | 384, 4956 |
| 2 | 192, 2478 |
| 3 | 96, 1239 |
| 32, 413 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 413 = 158592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158592
Therefore, the GCF of Fractions 8309/384,9775/4956 is 1/158592
Least Common Multiple of 384,4956 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 384,4956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,4956) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(384,4956) x common factors =12 x 1 = 12
LCM(384,4956) = ( 384 × 4956 ) / 12
LCM(384,4956) = 1903104 / 12
LCM(384,4956) = 158592
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FAQs on GCF of Fractions of 8309/384, 9775/4956
1. What is the HCF of 8309,9775?
The HCF of 8309,9775 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 8309/384, 9775/4956?
Answer: GCF of Numerators as per given numbers 8309/384, 9775/4956 is
GCF of Numerators i.e. for 8309,9775 is 1
LCM of denominators i.e. for 384,4956 is 158592.
Thus, GCF of Fractions is 1/158592.Finally, GCF of Fractions for 8309/384, 9775/4956 is 1/158592.