GCF of 8256/815, 6644/4437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8256/815, 6644/4437 i.e 4/3616155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8256/815, 6644/4437.
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 8256/815,6644/4437?
Given fractions are 8256/815,6644/4437
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 8256/815,6644/4437, numerators are 8256,6644
Denominators are 815,4437
The GCF of 8256,6644 is 4 .
LCM of 815,4437 is 3616155.
The greatest common factor of 8256/815,6644/4437 = [GCF of 8256,6644]/[LCM of 815,4437]= 4/3616155
Therefore, the GCF of 8256/815,6644/4437 is 4/3616155.
To find the highest common factor of 8256,6644, we have to find the factors of both numbers and list the highest common factor.
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The factors of 6644 are 1, 2, 4, 11, 22, 44, 151, 302, 604, 1661, 3322, 6644
The HCF of 8256,6644 is 4.
Lets's calculate GCF of 8256,6644
| 2 | 8256, 6644 |
| 2 | 4128, 3322 |
| 2064, 1661 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8256,6644 By Matching Biggest Common Factor Method
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Now, list down the factors of 6644
:1,2,4,11,22,44,151,302,604,1661,3322,6644
Greatest Common Factor
We found the factors 8256,6644 . The biggest common factor number is the GCF number.
So the greatest common factor 8256,6644 is 4.
Lets's calculate LCM of 815,4437
Given numbers has no common factors except 1. So, there LCM is their product i.e 3616155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3616155
Therefore, the GCF of Fractions 8256/815,6644/4437 is 4/3616155
Least Common Multiple of 815,4437 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 815,4437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,4437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,4437) x common factors =1 x 1 = 1
LCM(815,4437) = ( 815 × 4437 ) / 1
LCM(815,4437) = 3616155 / 1
LCM(815,4437) = 3616155
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FAQs on GCF of Fractions of 8256/815, 6644/4437
1. What is the HCF of 8256,6644?
The HCF of 8256,6644 is 4
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 8256/815, 6644/4437?
Answer: GCF of Numerators as per given numbers 8256/815, 6644/4437 is
GCF of Numerators i.e. for 8256,6644 is 4
LCM of denominators i.e. for 815,4437 is 3616155.
Thus, GCF of Fractions is 4/3616155.Finally, GCF of Fractions for 8256/815, 6644/4437 is 4/3616155.