GCF of 8996/246, 9295/9176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8996/246, 9295/9176 i.e 13/1128648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8996/246, 9295/9176.
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 8996/246,9295/9176?
Given fractions are 8996/246,9295/9176
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 8996/246,9295/9176, numerators are 8996,9295
Denominators are 246,9176
The GCF of 8996,9295 is 13 .
LCM of 246,9176 is 1128648.
The greatest common factor of 8996/246,9295/9176 = [GCF of 8996,9295]/[LCM of 246,9176]= 13/1128648
Therefore, the GCF of 8996/246,9295/9176 is 13/1128648.
To find the highest common factor of 8996,9295, we have to find the factors of both numbers and list the highest common factor.
The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996
The factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295
The HCF of 8996,9295 is 13.
Lets's calculate GCF of 8996,9295
| 13 | 8996, 9295 |
| 692, 715 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8996,9295 By Matching Biggest Common Factor Method
Now, list down the factors of 8996
:1,2,4,13,26,52,173,346,692,2249,4498,8996
Now, list down the factors of 9295
:1,5,11,13,55,65,143,169,715,845,1859,9295
Greatest Common Factor
We found the factors 8996,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 8996,9295 is 13.
Lets's calculate LCM of 246,9176
| 2 | 246, 9176 |
| 123, 4588 |
∴ So the LCM of the given numbers is 2 x 123 x 4588 = 1128648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1128648
Therefore, the GCF of Fractions 8996/246,9295/9176 is 13/1128648
Least Common Multiple of 246,9176 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 246,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,9176) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,9176) x common factors =2 x 1 = 2
LCM(246,9176) = ( 246 × 9176 ) / 2
LCM(246,9176) = 2257296 / 2
LCM(246,9176) = 1128648
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FAQs on GCF of Fractions of 8996/246, 9295/9176
1. What is the HCF of 8996,9295?
The HCF of 8996,9295 is 13
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 8996/246, 9295/9176?
Answer: GCF of Numerators as per given numbers 8996/246, 9295/9176 is
GCF of Numerators i.e. for 8996,9295 is 13
LCM of denominators i.e. for 246,9176 is 1128648.
Thus, GCF of Fractions is 13/1128648.Finally, GCF of Fractions for 8996/246, 9295/9176 is 13/1128648.