GCF of 8709/576, 6944/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8709/576, 6944/783 i.e 1/50112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8709/576, 6944/783.
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 8709/576,6944/783?
Given fractions are 8709/576,6944/783
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 8709/576,6944/783, numerators are 8709,6944
Denominators are 576,783
The GCF of 8709,6944 is 1 .
LCM of 576,783 is 50112.
The greatest common factor of 8709/576,6944/783 = [GCF of 8709,6944]/[LCM of 576,783]= 1/50112
Therefore, the GCF of 8709/576,6944/783 is 1/50112.
To find the highest common factor of 8709,6944, we have to find the factors of both numbers and list the highest common factor.
The factors of 8709 are 1, 3, 2903, 8709
The factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944
The HCF of 8709,6944 is 1.
Lets's calculate GCF of 8709,6944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8709,6944 By Matching Biggest Common Factor Method
Now, list down the factors of 8709
:1,3,2903,8709
Now, list down the factors of 6944
:1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors 8709,6944 . The biggest common factor number is the GCF number.
So the greatest common factor 8709,6944 is 1.
Lets's calculate LCM of 576,783
| 3 | 576, 783 |
| 3 | 192, 261 |
| 64, 87 |
∴ So the LCM of the given numbers is 3 x 3 x 64 x 87 = 50112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50112
Therefore, the GCF of Fractions 8709/576,6944/783 is 1/50112
Least Common Multiple of 576,783 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 576,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,783) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(576,783) x common factors =9 x 1 = 9
LCM(576,783) = ( 576 × 783 ) / 9
LCM(576,783) = 451008 / 9
LCM(576,783) = 50112
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FAQs on GCF of Fractions of 8709/576, 6944/783
1. What is the HCF of 8709,6944?
The HCF of 8709,6944 is 1
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 8709/576, 6944/783?
Answer: GCF of Numerators as per given numbers 8709/576, 6944/783 is
GCF of Numerators i.e. for 8709,6944 is 1
LCM of denominators i.e. for 576,783 is 50112.
Thus, GCF of Fractions is 1/50112.Finally, GCF of Fractions for 8709/576, 6944/783 is 1/50112.