GCF of 8505/422, 5845/9930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8505/422, 5845/9930 i.e 35/2095230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8505/422, 5845/9930.
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 8505/422,5845/9930?
Given fractions are 8505/422,5845/9930
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 8505/422,5845/9930, numerators are 8505,5845
Denominators are 422,9930
The GCF of 8505,5845 is 35 .
LCM of 422,9930 is 2095230.
The greatest common factor of 8505/422,5845/9930 = [GCF of 8505,5845]/[LCM of 422,9930]= 35/2095230
Therefore, the GCF of 8505/422,5845/9930 is 35/2095230.
To find the highest common factor of 8505,5845, we have to find the factors of both numbers and list the highest common factor.
The factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505
The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845
The HCF of 8505,5845 is 35.
Lets's calculate GCF of 8505,5845
| 5 | 8505, 5845 |
| 7 | 1701, 1169 |
| 243, 167 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 8505,5845 By Matching Biggest Common Factor Method
Now, list down the factors of 8505
:1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Now, list down the factors of 5845
:1,5,7,35,167,835,1169,5845
Greatest Common Factor
We found the factors 8505,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 8505,5845 is 35.
Lets's calculate LCM of 422,9930
| 2 | 422, 9930 |
| 211, 4965 |
∴ So the LCM of the given numbers is 2 x 211 x 4965 = 2095230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/2095230
Therefore, the GCF of Fractions 8505/422,5845/9930 is 35/2095230
Least Common Multiple of 422,9930 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 422,9930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,9930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,9930) x common factors =2 x 1 = 2
LCM(422,9930) = ( 422 × 9930 ) / 2
LCM(422,9930) = 4190460 / 2
LCM(422,9930) = 2095230
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FAQs on GCF of Fractions of 8505/422, 5845/9930
1. What is the HCF of 8505,5845?
The HCF of 8505,5845 is 35
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 8505/422, 5845/9930?
Answer: GCF of Numerators as per given numbers 8505/422, 5845/9930 is
GCF of Numerators i.e. for 8505,5845 is 35
LCM of denominators i.e. for 422,9930 is 2095230.
Thus, GCF of Fractions is 35/2095230.Finally, GCF of Fractions for 8505/422, 5845/9930 is 35/2095230.