GCF of 3110/336, 5486/8343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3110/336, 5486/8343 i.e 2/934416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3110/336, 5486/8343.
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 3110/336,5486/8343?
Given fractions are 3110/336,5486/8343
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 3110/336,5486/8343, numerators are 3110,5486
Denominators are 336,8343
The GCF of 3110,5486 is 2 .
LCM of 336,8343 is 934416.
The greatest common factor of 3110/336,5486/8343 = [GCF of 3110,5486]/[LCM of 336,8343]= 2/934416
Therefore, the GCF of 3110/336,5486/8343 is 2/934416.
To find the highest common factor of 3110,5486, we have to find the factors of both numbers and list the highest common factor.
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110
The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486
The HCF of 3110,5486 is 2.
Lets's calculate GCF of 3110,5486
| 2 | 3110, 5486 |
| 1555, 2743 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3110,5486 By Matching Biggest Common Factor Method
Now, list down the factors of 3110
:1,2,5,10,311,622,1555,3110
Now, list down the factors of 5486
:1,2,13,26,211,422,2743,5486
Greatest Common Factor
We found the factors 3110,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 3110,5486 is 2.
Lets's calculate LCM of 336,8343
| 3 | 336, 8343 |
| 112, 2781 |
∴ So the LCM of the given numbers is 3 x 112 x 2781 = 934416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/934416
Therefore, the GCF of Fractions 3110/336,5486/8343 is 2/934416
Least Common Multiple of 336,8343 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 336,8343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,8343) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,8343) x common factors =3 x 1 = 3
LCM(336,8343) = ( 336 × 8343 ) / 3
LCM(336,8343) = 2803248 / 3
LCM(336,8343) = 934416
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FAQs on GCF of Fractions of 3110/336, 5486/8343
1. What is the HCF of 3110,5486?
The HCF of 3110,5486 is 2
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 3110/336, 5486/8343?
Answer: GCF of Numerators as per given numbers 3110/336, 5486/8343 is
GCF of Numerators i.e. for 3110,5486 is 2
LCM of denominators i.e. for 336,8343 is 934416.
Thus, GCF of Fractions is 2/934416.Finally, GCF of Fractions for 3110/336, 5486/8343 is 2/934416.