GCF of 8756/901, 9353/5185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8756/901, 9353/5185 i.e 199/274805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8756/901, 9353/5185.
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 8756/901,9353/5185?
Given fractions are 8756/901,9353/5185
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 8756/901,9353/5185, numerators are 8756,9353
Denominators are 901,5185
The GCF of 8756,9353 is 199 .
LCM of 901,5185 is 274805.
The greatest common factor of 8756/901,9353/5185 = [GCF of 8756,9353]/[LCM of 901,5185]= 199/274805
Therefore, the GCF of 8756/901,9353/5185 is 199/274805.
To find the highest common factor of 8756,9353, we have to find the factors of both numbers and list the highest common factor.
The factors of 8756 are 1, 2, 4, 11, 22, 44, 199, 398, 796, 2189, 4378, 8756
The factors of 9353 are 1, 47, 199, 9353
The HCF of 8756,9353 is 199.
Lets's calculate GCF of 8756,9353
| 199 | 8756, 9353 |
| 44, 47 |
∴ So the GCF of the given numbers is 199 = 199
Greatest Common Factor of 8756,9353 By Matching Biggest Common Factor Method
Now, list down the factors of 8756
:1,2,4,11,22,44,199,398,796,2189,4378,8756
Now, list down the factors of 9353
:1,47,199,9353
Greatest Common Factor
We found the factors 8756,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 8756,9353 is 199.
Lets's calculate LCM of 901,5185
| 17 | 901, 5185 |
| 53, 305 |
∴ So the LCM of the given numbers is 17 x 53 x 305 = 274805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 199/274805
Therefore, the GCF of Fractions 8756/901,9353/5185 is 199/274805
Least Common Multiple of 901,5185 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 901,5185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,5185) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(901,5185) x common factors =17 x 1 = 17
LCM(901,5185) = ( 901 × 5185 ) / 17
LCM(901,5185) = 4671685 / 17
LCM(901,5185) = 274805
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FAQs on GCF of Fractions of 8756/901, 9353/5185
1. What is the HCF of 8756,9353?
The HCF of 8756,9353 is 199
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 8756/901, 9353/5185?
Answer: GCF of Numerators as per given numbers 8756/901, 9353/5185 is
GCF of Numerators i.e. for 8756,9353 is 199
LCM of denominators i.e. for 901,5185 is 274805.
Thus, GCF of Fractions is 199/274805.Finally, GCF of Fractions for 8756/901, 9353/5185 is 199/274805.