GCF of 2647/442, 9342/8478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2647/442, 9342/8478 i.e 1/1873638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2647/442, 9342/8478.
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 2647/442,9342/8478?
Given fractions are 2647/442,9342/8478
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 2647/442,9342/8478, numerators are 2647,9342
Denominators are 442,8478
The GCF of 2647,9342 is 1 .
LCM of 442,8478 is 1873638.
The greatest common factor of 2647/442,9342/8478 = [GCF of 2647,9342]/[LCM of 442,8478]= 1/1873638
Therefore, the GCF of 2647/442,9342/8478 is 1/1873638.
To find the highest common factor of 2647,9342, we have to find the factors of both numbers and list the highest common factor.
The factors of 2647 are 1, 2647
The factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342
The HCF of 2647,9342 is 1.
Lets's calculate GCF of 2647,9342
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2647,9342 By Matching Biggest Common Factor Method
Now, list down the factors of 2647
:1,2647
Now, list down the factors of 9342
:1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342
Greatest Common Factor
We found the factors 2647,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 2647,9342 is 1.
Lets's calculate LCM of 442,8478
| 2 | 442, 8478 |
| 221, 4239 |
∴ So the LCM of the given numbers is 2 x 221 x 4239 = 1873638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1873638
Therefore, the GCF of Fractions 2647/442,9342/8478 is 1/1873638
Least Common Multiple of 442,8478 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 442,8478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,8478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,8478) x common factors =2 x 1 = 2
LCM(442,8478) = ( 442 × 8478 ) / 2
LCM(442,8478) = 3747276 / 2
LCM(442,8478) = 1873638
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FAQs on GCF of Fractions of 2647/442, 9342/8478
1. What is the HCF of 2647,9342?
The HCF of 2647,9342 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 2647/442, 9342/8478?
Answer: GCF of Numerators as per given numbers 2647/442, 9342/8478 is
GCF of Numerators i.e. for 2647,9342 is 1
LCM of denominators i.e. for 442,8478 is 1873638.
Thus, GCF of Fractions is 1/1873638.Finally, GCF of Fractions for 2647/442, 9342/8478 is 1/1873638.