GCF of 9159/872, 7788/6388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9159/872, 7788/6388 i.e 3/1392584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9159/872, 7788/6388.
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 9159/872,7788/6388?
Given fractions are 9159/872,7788/6388
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 9159/872,7788/6388, numerators are 9159,7788
Denominators are 872,6388
The GCF of 9159,7788 is 3 .
LCM of 872,6388 is 1392584.
The greatest common factor of 9159/872,7788/6388 = [GCF of 9159,7788]/[LCM of 872,6388]= 3/1392584
Therefore, the GCF of 9159/872,7788/6388 is 3/1392584.
To find the highest common factor of 9159,7788, we have to find the factors of both numbers and list the highest common factor.
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788
The HCF of 9159,7788 is 3.
Lets's calculate GCF of 9159,7788
| 3 | 9159, 7788 |
| 3053, 2596 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9159,7788 By Matching Biggest Common Factor Method
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Now, list down the factors of 7788
:1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Greatest Common Factor
We found the factors 9159,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 9159,7788 is 3.
Lets's calculate LCM of 872,6388
| 2 | 872, 6388 |
| 2 | 436, 3194 |
| 218, 1597 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 1597 = 1392584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1392584
Therefore, the GCF of Fractions 9159/872,7788/6388 is 3/1392584
Least Common Multiple of 872,6388 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 872,6388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,6388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,6388) x common factors =4 x 1 = 4
LCM(872,6388) = ( 872 × 6388 ) / 4
LCM(872,6388) = 5570336 / 4
LCM(872,6388) = 1392584
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FAQs on GCF of Fractions of 9159/872, 7788/6388
1. What is the HCF of 9159,7788?
The HCF of 9159,7788 is 3
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 9159/872, 7788/6388?
Answer: GCF of Numerators as per given numbers 9159/872, 7788/6388 is
GCF of Numerators i.e. for 9159,7788 is 3
LCM of denominators i.e. for 872,6388 is 1392584.
Thus, GCF of Fractions is 3/1392584.Finally, GCF of Fractions for 9159/872, 7788/6388 is 3/1392584.