GCF of 9430/491, 8855/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9430/491, 8855/954 i.e 115/468414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9430/491, 8855/954.
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 9430/491,8855/954?
Given fractions are 9430/491,8855/954
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 9430/491,8855/954, numerators are 9430,8855
Denominators are 491,954
The GCF of 9430,8855 is 115 .
LCM of 491,954 is 468414.
The greatest common factor of 9430/491,8855/954 = [GCF of 9430,8855]/[LCM of 491,954]= 115/468414
Therefore, the GCF of 9430/491,8855/954 is 115/468414.
To find the highest common factor of 9430,8855, we have to find the factors of both numbers and list the highest common factor.
The factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430
The factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855
The HCF of 9430,8855 is 115.
Lets's calculate GCF of 9430,8855
| 5 | 9430, 8855 |
| 23 | 1886, 1771 |
| 82, 77 |
∴ So the GCF of the given numbers is 5 x 23 = 115
Greatest Common Factor of 9430,8855 By Matching Biggest Common Factor Method
Now, list down the factors of 9430
:1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430
Now, list down the factors of 8855
:1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855
Greatest Common Factor
We found the factors 9430,8855 . The biggest common factor number is the GCF number.
So the greatest common factor 9430,8855 is 115.
Lets's calculate LCM of 491,954
Given numbers has no common factors except 1. So, there LCM is their product i.e 468414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 115/468414
Therefore, the GCF of Fractions 9430/491,8855/954 is 115/468414
Least Common Multiple of 491,954 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 491,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,954) x common factors =1 x 1 = 1
LCM(491,954) = ( 491 × 954 ) / 1
LCM(491,954) = 468414 / 1
LCM(491,954) = 468414
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FAQs on GCF of Fractions of 9430/491, 8855/954
1. What is the HCF of 9430,8855?
The HCF of 9430,8855 is 115
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 9430/491, 8855/954?
Answer: GCF of Numerators as per given numbers 9430/491, 8855/954 is
GCF of Numerators i.e. for 9430,8855 is 115
LCM of denominators i.e. for 491,954 is 468414.
Thus, GCF of Fractions is 115/468414.Finally, GCF of Fractions for 9430/491, 8855/954 is 115/468414.