GCF of 9235/304, 8795/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9235/304, 8795/958 i.e 5/145616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9235/304, 8795/958.
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 9235/304,8795/958?
Given fractions are 9235/304,8795/958
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 9235/304,8795/958, numerators are 9235,8795
Denominators are 304,958
The GCF of 9235,8795 is 5 .
LCM of 304,958 is 145616.
The greatest common factor of 9235/304,8795/958 = [GCF of 9235,8795]/[LCM of 304,958]= 5/145616
Therefore, the GCF of 9235/304,8795/958 is 5/145616.
To find the highest common factor of 9235,8795, 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 8795 are 1, 5, 1759, 8795
The HCF of 9235,8795 is 5.
Lets's calculate GCF of 9235,8795
| 5 | 9235, 8795 |
| 1847, 1759 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9235,8795 By Matching Biggest Common Factor Method
Now, list down the factors of 9235
:1,5,1847,9235
Now, list down the factors of 8795
:1,5,1759,8795
Greatest Common Factor
We found the factors 9235,8795 . The biggest common factor number is the GCF number.
So the greatest common factor 9235,8795 is 5.
Lets's calculate LCM of 304,958
| 2 | 304, 958 |
| 152, 479 |
∴ So the LCM of the given numbers is 2 x 152 x 479 = 145616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/145616
Therefore, the GCF of Fractions 9235/304,8795/958 is 5/145616
Least Common Multiple of 304,958 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 304,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,958) x common factors =2 x 1 = 2
LCM(304,958) = ( 304 × 958 ) / 2
LCM(304,958) = 291232 / 2
LCM(304,958) = 145616
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FAQs on GCF of Fractions of 9235/304, 8795/958
1. What is the HCF of 9235,8795?
The HCF of 9235,8795 is 5
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 9235/304, 8795/958?
Answer: GCF of Numerators as per given numbers 9235/304, 8795/958 is
GCF of Numerators i.e. for 9235,8795 is 5
LCM of denominators i.e. for 304,958 is 145616.
Thus, GCF of Fractions is 5/145616.Finally, GCF of Fractions for 9235/304, 8795/958 is 5/145616.