GCF of 6085/352, 7210/4176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6085/352, 7210/4176 i.e 5/91872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6085/352, 7210/4176.
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 6085/352,7210/4176?
Given fractions are 6085/352,7210/4176
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 6085/352,7210/4176, numerators are 6085,7210
Denominators are 352,4176
The GCF of 6085,7210 is 5 .
LCM of 352,4176 is 91872.
The greatest common factor of 6085/352,7210/4176 = [GCF of 6085,7210]/[LCM of 352,4176]= 5/91872
Therefore, the GCF of 6085/352,7210/4176 is 5/91872.
To find the highest common factor of 6085,7210, we have to find the factors of both numbers and list the highest common factor.
The factors of 6085 are 1, 5, 1217, 6085
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 6085,7210 is 5.
Lets's calculate GCF of 6085,7210
| 5 | 6085, 7210 |
| 1217, 1442 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6085,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 6085
:1,5,1217,6085
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 6085,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 6085,7210 is 5.
Lets's calculate LCM of 352,4176
| 2 | 352, 4176 |
| 2 | 176, 2088 |
| 2 | 88, 1044 |
| 2 | 44, 522 |
| 22, 261 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 22 x 261 = 91872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/91872
Therefore, the GCF of Fractions 6085/352,7210/4176 is 5/91872
Least Common Multiple of 352,4176 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 352,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,4176) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(352,4176) x common factors =16 x 1 = 16
LCM(352,4176) = ( 352 × 4176 ) / 16
LCM(352,4176) = 1469952 / 16
LCM(352,4176) = 91872
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FAQs on GCF of Fractions of 6085/352, 7210/4176
1. What is the HCF of 6085,7210?
The HCF of 6085,7210 is 5
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 6085/352, 7210/4176?
Answer: GCF of Numerators as per given numbers 6085/352, 7210/4176 is
GCF of Numerators i.e. for 6085,7210 is 5
LCM of denominators i.e. for 352,4176 is 91872.
Thus, GCF of Fractions is 5/91872.Finally, GCF of Fractions for 6085/352, 7210/4176 is 5/91872.