GCF of 2471/378, 9968/805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2471/378, 9968/805 i.e 7/43470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2471/378, 9968/805.
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 2471/378,9968/805?
Given fractions are 2471/378,9968/805
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 2471/378,9968/805, numerators are 2471,9968
Denominators are 378,805
The GCF of 2471,9968 is 7 .
LCM of 378,805 is 43470.
The greatest common factor of 2471/378,9968/805 = [GCF of 2471,9968]/[LCM of 378,805]= 7/43470
Therefore, the GCF of 2471/378,9968/805 is 7/43470.
To find the highest common factor of 2471,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 2471 are 1, 7, 353, 2471
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 2471,9968 is 7.
Lets's calculate GCF of 2471,9968
| 7 | 2471, 9968 |
| 353, 1424 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2471,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 2471
:1,7,353,2471
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 2471,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 2471,9968 is 7.
Lets's calculate LCM of 378,805
| 7 | 378, 805 |
| 54, 115 |
∴ So the LCM of the given numbers is 7 x 54 x 115 = 43470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/43470
Therefore, the GCF of Fractions 2471/378,9968/805 is 7/43470
Least Common Multiple of 378,805 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 378,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,805) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(378,805) x common factors =7 x 1 = 7
LCM(378,805) = ( 378 × 805 ) / 7
LCM(378,805) = 304290 / 7
LCM(378,805) = 43470
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FAQs on GCF of Fractions of 2471/378, 9968/805
1. What is the HCF of 2471,9968?
The HCF of 2471,9968 is 7
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 2471/378, 9968/805?
Answer: GCF of Numerators as per given numbers 2471/378, 9968/805 is
GCF of Numerators i.e. for 2471,9968 is 7
LCM of denominators i.e. for 378,805 is 43470.
Thus, GCF of Fractions is 7/43470.Finally, GCF of Fractions for 2471/378, 9968/805 is 7/43470.