GCF of 9471/330, 1316/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9471/330, 1316/207 i.e 7/22770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9471/330, 1316/207.
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 9471/330,1316/207?
Given fractions are 9471/330,1316/207
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 9471/330,1316/207, numerators are 9471,1316
Denominators are 330,207
The GCF of 9471,1316 is 7 .
LCM of 330,207 is 22770.
The greatest common factor of 9471/330,1316/207 = [GCF of 9471,1316]/[LCM of 330,207]= 7/22770
Therefore, the GCF of 9471/330,1316/207 is 7/22770.
To find the highest common factor of 9471,1316, we have to find the factors of both numbers and list the highest common factor.
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316
The HCF of 9471,1316 is 7.
Lets's calculate GCF of 9471,1316
| 7 | 9471, 1316 |
| 1353, 188 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9471,1316 By Matching Biggest Common Factor Method
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Now, list down the factors of 1316
:1,2,4,7,14,28,47,94,188,329,658,1316
Greatest Common Factor
We found the factors 9471,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,1316 is 7.
Lets's calculate LCM of 330,207
| 3 | 330, 207 |
| 110, 69 |
∴ So the LCM of the given numbers is 3 x 110 x 69 = 22770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/22770
Therefore, the GCF of Fractions 9471/330,1316/207 is 7/22770
Least Common Multiple of 330,207 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 330,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(330,207) x common factors =3 x 1 = 3
LCM(330,207) = ( 330 × 207 ) / 3
LCM(330,207) = 68310 / 3
LCM(330,207) = 22770
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FAQs on GCF of Fractions of 9471/330, 1316/207
1. What is the HCF of 9471,1316?
The HCF of 9471,1316 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 9471/330, 1316/207?
Answer: GCF of Numerators as per given numbers 9471/330, 1316/207 is
GCF of Numerators i.e. for 9471,1316 is 7
LCM of denominators i.e. for 330,207 is 22770.
Thus, GCF of Fractions is 7/22770.Finally, GCF of Fractions for 9471/330, 1316/207 is 7/22770.