GCF of 9158/116, 8850/9312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9158/116, 8850/9312 i.e 2/270048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9158/116, 8850/9312.
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 9158/116,8850/9312?
Given fractions are 9158/116,8850/9312
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 9158/116,8850/9312, numerators are 9158,8850
Denominators are 116,9312
The GCF of 9158,8850 is 2 .
LCM of 116,9312 is 270048.
The greatest common factor of 9158/116,8850/9312 = [GCF of 9158,8850]/[LCM of 116,9312]= 2/270048
Therefore, the GCF of 9158/116,8850/9312 is 2/270048.
To find the highest common factor of 9158,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 9158,8850 is 2.
Lets's calculate GCF of 9158,8850
| 2 | 9158, 8850 |
| 4579, 4425 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9158,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 9158
:1,2,19,38,241,482,4579,9158
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 9158,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 9158,8850 is 2.
Lets's calculate LCM of 116,9312
| 2 | 116, 9312 |
| 2 | 58, 4656 |
| 29, 2328 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 2328 = 270048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270048
Therefore, the GCF of Fractions 9158/116,8850/9312 is 2/270048
Least Common Multiple of 116,9312 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 116,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,9312) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,9312) x common factors =4 x 1 = 4
LCM(116,9312) = ( 116 × 9312 ) / 4
LCM(116,9312) = 1080192 / 4
LCM(116,9312) = 270048
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FAQs on GCF of Fractions of 9158/116, 8850/9312
1. What is the HCF of 9158,8850?
The HCF of 9158,8850 is 2
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 9158/116, 8850/9312?
Answer: GCF of Numerators as per given numbers 9158/116, 8850/9312 is
GCF of Numerators i.e. for 9158,8850 is 2
LCM of denominators i.e. for 116,9312 is 270048.
Thus, GCF of Fractions is 2/270048.Finally, GCF of Fractions for 9158/116, 8850/9312 is 2/270048.