GCF of 9235/529, 9353/8004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9235/529, 9353/8004 i.e 1/184092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9235/529, 9353/8004.
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 9235/529,9353/8004?
Given fractions are 9235/529,9353/8004
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 9235/529,9353/8004, numerators are 9235,9353
Denominators are 529,8004
The GCF of 9235,9353 is 1 .
LCM of 529,8004 is 184092.
The greatest common factor of 9235/529,9353/8004 = [GCF of 9235,9353]/[LCM of 529,8004]= 1/184092
Therefore, the GCF of 9235/529,9353/8004 is 1/184092.
To find the highest common factor of 9235,9353, we have to find the factors of both numbers and list the highest common factor.
The factors of 9235 are 1, 5, 1847, 9235
The factors of 9353 are 1, 47, 199, 9353
The HCF of 9235,9353 is 1.
Lets's calculate GCF of 9235,9353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9235,9353 By Matching Biggest Common Factor Method
Now, list down the factors of 9235
:1,5,1847,9235
Now, list down the factors of 9353
:1,47,199,9353
Greatest Common Factor
We found the factors 9235,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 9235,9353 is 1.
Lets's calculate LCM of 529,8004
| 23 | 529, 8004 |
| 23, 348 |
∴ So the LCM of the given numbers is 23 x 23 x 348 = 184092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184092
Therefore, the GCF of Fractions 9235/529,9353/8004 is 1/184092
Least Common Multiple of 529,8004 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 529,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,8004) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,8004) x common factors =23 x 1 = 23
LCM(529,8004) = ( 529 × 8004 ) / 23
LCM(529,8004) = 4234116 / 23
LCM(529,8004) = 184092
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FAQs on GCF of Fractions of 9235/529, 9353/8004
1. What is the HCF of 9235,9353?
The HCF of 9235,9353 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 9235/529, 9353/8004?
Answer: GCF of Numerators as per given numbers 9235/529, 9353/8004 is
GCF of Numerators i.e. for 9235,9353 is 1
LCM of denominators i.e. for 529,8004 is 184092.
Thus, GCF of Fractions is 1/184092.Finally, GCF of Fractions for 9235/529, 9353/8004 is 1/184092.