GCF of 8846/362, 5750/4658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8846/362, 5750/4658 i.e 2/843098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8846/362, 5750/4658.
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 8846/362,5750/4658?
Given fractions are 8846/362,5750/4658
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 8846/362,5750/4658, numerators are 8846,5750
Denominators are 362,4658
The GCF of 8846,5750 is 2 .
LCM of 362,4658 is 843098.
The greatest common factor of 8846/362,5750/4658 = [GCF of 8846,5750]/[LCM of 362,4658]= 2/843098
Therefore, the GCF of 8846/362,5750/4658 is 2/843098.
To find the highest common factor of 8846,5750, we have to find the factors of both numbers and list the highest common factor.
The factors of 8846 are 1, 2, 4423, 8846
The factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
The HCF of 8846,5750 is 2.
Lets's calculate GCF of 8846,5750
| 2 | 8846, 5750 |
| 4423, 2875 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8846,5750 By Matching Biggest Common Factor Method
Now, list down the factors of 8846
:1,2,4423,8846
Now, list down the factors of 5750
:1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 8846,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 8846,5750 is 2.
Lets's calculate LCM of 362,4658
| 2 | 362, 4658 |
| 181, 2329 |
∴ So the LCM of the given numbers is 2 x 181 x 2329 = 843098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/843098
Therefore, the GCF of Fractions 8846/362,5750/4658 is 2/843098
Least Common Multiple of 362,4658 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 362,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,4658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,4658) x common factors =2 x 1 = 2
LCM(362,4658) = ( 362 × 4658 ) / 2
LCM(362,4658) = 1686196 / 2
LCM(362,4658) = 843098
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FAQs on GCF of Fractions of 8846/362, 5750/4658
1. What is the HCF of 8846,5750?
The HCF of 8846,5750 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 8846/362, 5750/4658?
Answer: GCF of Numerators as per given numbers 8846/362, 5750/4658 is
GCF of Numerators i.e. for 8846,5750 is 2
LCM of denominators i.e. for 362,4658 is 843098.
Thus, GCF of Fractions is 2/843098.Finally, GCF of Fractions for 8846/362, 5750/4658 is 2/843098.