GCF of 9295/418, 9891/1064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9295/418, 9891/1064 i.e 1/11704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9295/418, 9891/1064.
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 9295/418,9891/1064?
Given fractions are 9295/418,9891/1064
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 9295/418,9891/1064, numerators are 9295,9891
Denominators are 418,1064
The GCF of 9295,9891 is 1 .
LCM of 418,1064 is 11704.
The greatest common factor of 9295/418,9891/1064 = [GCF of 9295,9891]/[LCM of 418,1064]= 1/11704
Therefore, the GCF of 9295/418,9891/1064 is 1/11704.
To find the highest common factor of 9295,9891, we have to find the factors of both numbers and list the highest common factor.
The factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295
The factors of 9891 are 1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891
The HCF of 9295,9891 is 1.
Lets's calculate GCF of 9295,9891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9295,9891 By Matching Biggest Common Factor Method
Now, list down the factors of 9295
:1,5,11,13,55,65,143,169,715,845,1859,9295
Now, list down the factors of 9891
:1,3,7,9,21,63,157,471,1099,1413,3297,9891
Greatest Common Factor
We found the factors 9295,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 9295,9891 is 1.
Lets's calculate LCM of 418,1064
| 2 | 418, 1064 |
| 19 | 209, 532 |
| 11, 28 |
∴ So the LCM of the given numbers is 2 x 19 x 11 x 28 = 11704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11704
Therefore, the GCF of Fractions 9295/418,9891/1064 is 1/11704
Least Common Multiple of 418,1064 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 418,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,1064) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(418,1064) x common factors =38 x 1 = 38
LCM(418,1064) = ( 418 × 1064 ) / 38
LCM(418,1064) = 444752 / 38
LCM(418,1064) = 11704
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FAQs on GCF of Fractions of 9295/418, 9891/1064
1. What is the HCF of 9295,9891?
The HCF of 9295,9891 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 9295/418, 9891/1064?
Answer: GCF of Numerators as per given numbers 9295/418, 9891/1064 is
GCF of Numerators i.e. for 9295,9891 is 1
LCM of denominators i.e. for 418,1064 is 11704.
Thus, GCF of Fractions is 1/11704.Finally, GCF of Fractions for 9295/418, 9891/1064 is 1/11704.