GCF of 9789/585, 6864/879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9789/585, 6864/879 i.e 39/171405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9789/585, 6864/879.
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 9789/585,6864/879?
Given fractions are 9789/585,6864/879
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 9789/585,6864/879, numerators are 9789,6864
Denominators are 585,879
The GCF of 9789,6864 is 39 .
LCM of 585,879 is 171405.
The greatest common factor of 9789/585,6864/879 = [GCF of 9789,6864]/[LCM of 585,879]= 39/171405
Therefore, the GCF of 9789/585,6864/879 is 39/171405.
To find the highest common factor of 9789,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
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 9789,6864 is 39.
Lets's calculate GCF of 9789,6864
| 3 | 9789, 6864 |
| 13 | 3263, 2288 |
| 251, 176 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 9789,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
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 9789,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,6864 is 39.
Lets's calculate LCM of 585,879
| 3 | 585, 879 |
| 195, 293 |
∴ So the LCM of the given numbers is 3 x 195 x 293 = 171405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/171405
Therefore, the GCF of Fractions 9789/585,6864/879 is 39/171405
Least Common Multiple of 585,879 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 585,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,879) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,879) x common factors =3 x 1 = 3
LCM(585,879) = ( 585 × 879 ) / 3
LCM(585,879) = 514215 / 3
LCM(585,879) = 171405
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FAQs on GCF of Fractions of 9789/585, 6864/879
1. What is the HCF of 9789,6864?
The HCF of 9789,6864 is 39
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 9789/585, 6864/879?
Answer: GCF of Numerators as per given numbers 9789/585, 6864/879 is
GCF of Numerators i.e. for 9789,6864 is 39
LCM of denominators i.e. for 585,879 is 171405.
Thus, GCF of Fractions is 39/171405.Finally, GCF of Fractions for 9789/585, 6864/879 is 39/171405.