GCF of 9471/938, 5161/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9471/938, 5161/708 i.e 1/332052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9471/938, 5161/708.
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 9471/938,5161/708?
Given fractions are 9471/938,5161/708
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 9471/938,5161/708, numerators are 9471,5161
Denominators are 938,708
The GCF of 9471,5161 is 1 .
LCM of 938,708 is 332052.
The greatest common factor of 9471/938,5161/708 = [GCF of 9471,5161]/[LCM of 938,708]= 1/332052
Therefore, the GCF of 9471/938,5161/708 is 1/332052.
To find the highest common factor of 9471,5161, 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 5161 are 1, 13, 397, 5161
The HCF of 9471,5161 is 1.
Lets's calculate GCF of 9471,5161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9471,5161 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 5161
:1,13,397,5161
Greatest Common Factor
We found the factors 9471,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,5161 is 1.
Lets's calculate LCM of 938,708
| 2 | 938, 708 |
| 469, 354 |
∴ So the LCM of the given numbers is 2 x 469 x 354 = 332052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332052
Therefore, the GCF of Fractions 9471/938,5161/708 is 1/332052
Least Common Multiple of 938,708 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 938,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,708) x common factors =2 x 1 = 2
LCM(938,708) = ( 938 × 708 ) / 2
LCM(938,708) = 664104 / 2
LCM(938,708) = 332052
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FAQs on GCF of Fractions of 9471/938, 5161/708
1. What is the HCF of 9471,5161?
The HCF of 9471,5161 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 9471/938, 5161/708?
Answer: GCF of Numerators as per given numbers 9471/938, 5161/708 is
GCF of Numerators i.e. for 9471,5161 is 1
LCM of denominators i.e. for 938,708 is 332052.
Thus, GCF of Fractions is 1/332052.Finally, GCF of Fractions for 9471/938, 5161/708 is 1/332052.