GCF of 9279/783, 1809/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9279/783, 1809/865 i.e 9/677295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9279/783, 1809/865.
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 9279/783,1809/865?
Given fractions are 9279/783,1809/865
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 9279/783,1809/865, numerators are 9279,1809
Denominators are 783,865
The GCF of 9279,1809 is 9 .
LCM of 783,865 is 677295.
The greatest common factor of 9279/783,1809/865 = [GCF of 9279,1809]/[LCM of 783,865]= 9/677295
Therefore, the GCF of 9279/783,1809/865 is 9/677295.
To find the highest common factor of 9279,1809, we have to find the factors of both numbers and list the highest common factor.
The factors of 9279 are 1, 3, 9, 1031, 3093, 9279
The factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809
The HCF of 9279,1809 is 9.
Lets's calculate GCF of 9279,1809
| 3 | 9279, 1809 |
| 3 | 3093, 603 |
| 1031, 201 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9279,1809 By Matching Biggest Common Factor Method
Now, list down the factors of 9279
:1,3,9,1031,3093,9279
Now, list down the factors of 1809
:1,3,9,27,67,201,603,1809
Greatest Common Factor
We found the factors 9279,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 9279,1809 is 9.
Lets's calculate LCM of 783,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 677295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/677295
Therefore, the GCF of Fractions 9279/783,1809/865 is 9/677295
Least Common Multiple of 783,865 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 783,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,865) x common factors =1 x 1 = 1
LCM(783,865) = ( 783 × 865 ) / 1
LCM(783,865) = 677295 / 1
LCM(783,865) = 677295
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FAQs on GCF of Fractions of 9279/783, 1809/865
1. What is the HCF of 9279,1809?
The HCF of 9279,1809 is 9
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 9279/783, 1809/865?
Answer: GCF of Numerators as per given numbers 9279/783, 1809/865 is
GCF of Numerators i.e. for 9279,1809 is 9
LCM of denominators i.e. for 783,865 is 677295.
Thus, GCF of Fractions is 9/677295.Finally, GCF of Fractions for 9279/783, 1809/865 is 9/677295.