GCF of 8471/902, 4644/9276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8471/902, 4644/9276 i.e 43/4183476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8471/902, 4644/9276.
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 8471/902,4644/9276?
Given fractions are 8471/902,4644/9276
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 8471/902,4644/9276, numerators are 8471,4644
Denominators are 902,9276
The GCF of 8471,4644 is 43 .
LCM of 902,9276 is 4183476.
The greatest common factor of 8471/902,4644/9276 = [GCF of 8471,4644]/[LCM of 902,9276]= 43/4183476
Therefore, the GCF of 8471/902,4644/9276 is 43/4183476.
To find the highest common factor of 8471,4644, we have to find the factors of both numbers and list the highest common factor.
The factors of 8471 are 1, 43, 197, 8471
The factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644
The HCF of 8471,4644 is 43.
Lets's calculate GCF of 8471,4644
| 43 | 8471, 4644 |
| 197, 108 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 8471,4644 By Matching Biggest Common Factor Method
Now, list down the factors of 8471
:1,43,197,8471
Now, list down the factors of 4644
:1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644
Greatest Common Factor
We found the factors 8471,4644 . The biggest common factor number is the GCF number.
So the greatest common factor 8471,4644 is 43.
Lets's calculate LCM of 902,9276
| 2 | 902, 9276 |
| 451, 4638 |
∴ So the LCM of the given numbers is 2 x 451 x 4638 = 4183476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/4183476
Therefore, the GCF of Fractions 8471/902,4644/9276 is 43/4183476
Least Common Multiple of 902,9276 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 902,9276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,9276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,9276) x common factors =2 x 1 = 2
LCM(902,9276) = ( 902 × 9276 ) / 2
LCM(902,9276) = 8366952 / 2
LCM(902,9276) = 4183476
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FAQs on GCF of Fractions of 8471/902, 4644/9276
1. What is the HCF of 8471,4644?
The HCF of 8471,4644 is 43
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 8471/902, 4644/9276?
Answer: GCF of Numerators as per given numbers 8471/902, 4644/9276 is
GCF of Numerators i.e. for 8471,4644 is 43
LCM of denominators i.e. for 902,9276 is 4183476.
Thus, GCF of Fractions is 43/4183476.Finally, GCF of Fractions for 8471/902, 4644/9276 is 43/4183476.