GCF of 8832/584, 8289/6667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8832/584, 8289/6667 i.e 3/3893528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8832/584, 8289/6667.
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 8832/584,8289/6667?
Given fractions are 8832/584,8289/6667
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 8832/584,8289/6667, numerators are 8832,8289
Denominators are 584,6667
The GCF of 8832,8289 is 3 .
LCM of 584,6667 is 3893528.
The greatest common factor of 8832/584,8289/6667 = [GCF of 8832,8289]/[LCM of 584,6667]= 3/3893528
Therefore, the GCF of 8832/584,8289/6667 is 3/3893528.
To find the highest common factor of 8832,8289, we have to find the factors of both numbers and list the highest common factor.
The factors of 8832 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 128, 138, 184, 192, 276, 368, 384, 552, 736, 1104, 1472, 2208, 2944, 4416, 8832
The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289
The HCF of 8832,8289 is 3.
Lets's calculate GCF of 8832,8289
| 3 | 8832, 8289 |
| 2944, 2763 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8832,8289 By Matching Biggest Common Factor Method
Now, list down the factors of 8832
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832
Now, list down the factors of 8289
:1,3,9,27,307,921,2763,8289
Greatest Common Factor
We found the factors 8832,8289 . The biggest common factor number is the GCF number.
So the greatest common factor 8832,8289 is 3.
Lets's calculate LCM of 584,6667
Given numbers has no common factors except 1. So, there LCM is their product i.e 3893528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3893528
Therefore, the GCF of Fractions 8832/584,8289/6667 is 3/3893528
Least Common Multiple of 584,6667 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 584,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,6667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,6667) x common factors =1 x 1 = 1
LCM(584,6667) = ( 584 × 6667 ) / 1
LCM(584,6667) = 3893528 / 1
LCM(584,6667) = 3893528
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8832/584, 8289/6667
1. What is the HCF of 8832,8289?
The HCF of 8832,8289 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 8832/584, 8289/6667?
Answer: GCF of Numerators as per given numbers 8832/584, 8289/6667 is
GCF of Numerators i.e. for 8832,8289 is 3
LCM of denominators i.e. for 584,6667 is 3893528.
Thus, GCF of Fractions is 3/3893528.Finally, GCF of Fractions for 8832/584, 8289/6667 is 3/3893528.