GCF of 9534/386, 6864/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9534/386, 6864/320 i.e 6/61760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9534/386, 6864/320.
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 9534/386,6864/320?
Given fractions are 9534/386,6864/320
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 9534/386,6864/320, numerators are 9534,6864
Denominators are 386,320
The GCF of 9534,6864 is 6 .
LCM of 386,320 is 61760.
The greatest common factor of 9534/386,6864/320 = [GCF of 9534,6864]/[LCM of 386,320]= 6/61760
Therefore, the GCF of 9534/386,6864/320 is 6/61760.
To find the highest common factor of 9534,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The HCF of 9534,6864 is 6.
Lets's calculate GCF of 9534,6864
| 2 | 9534, 6864 |
| 3 | 4767, 3432 |
| 1589, 1144 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9534,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 9534
:1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Greatest Common Factor
We found the factors 9534,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 9534,6864 is 6.
Lets's calculate LCM of 386,320
| 2 | 386, 320 |
| 193, 160 |
∴ So the LCM of the given numbers is 2 x 193 x 160 = 61760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/61760
Therefore, the GCF of Fractions 9534/386,6864/320 is 6/61760
Least Common Multiple of 386,320 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 386,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,320) x common factors =2 x 1 = 2
LCM(386,320) = ( 386 × 320 ) / 2
LCM(386,320) = 123520 / 2
LCM(386,320) = 61760
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FAQs on GCF of Fractions of 9534/386, 6864/320
1. What is the HCF of 9534,6864?
The HCF of 9534,6864 is 6
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 9534/386, 6864/320?
Answer: GCF of Numerators as per given numbers 9534/386, 6864/320 is
GCF of Numerators i.e. for 9534,6864 is 6
LCM of denominators i.e. for 386,320 is 61760.
Thus, GCF of Fractions is 6/61760.Finally, GCF of Fractions for 9534/386, 6864/320 is 6/61760.