GCF of 9850/582, 8445/7288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9850/582, 8445/7288 i.e 5/2120808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9850/582, 8445/7288.
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 9850/582,8445/7288?
Given fractions are 9850/582,8445/7288
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 9850/582,8445/7288, numerators are 9850,8445
Denominators are 582,7288
The GCF of 9850,8445 is 5 .
LCM of 582,7288 is 2120808.
The greatest common factor of 9850/582,8445/7288 = [GCF of 9850,8445]/[LCM of 582,7288]= 5/2120808
Therefore, the GCF of 9850/582,8445/7288 is 5/2120808.
To find the highest common factor of 9850,8445, we have to find the factors of both numbers and list the highest common factor.
The factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850
The factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445
The HCF of 9850,8445 is 5.
Lets's calculate GCF of 9850,8445
| 5 | 9850, 8445 |
| 1970, 1689 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9850,8445 By Matching Biggest Common Factor Method
Now, list down the factors of 9850
:1,2,5,10,25,50,197,394,985,1970,4925,9850
Now, list down the factors of 8445
:1,3,5,15,563,1689,2815,8445
Greatest Common Factor
We found the factors 9850,8445 . The biggest common factor number is the GCF number.
So the greatest common factor 9850,8445 is 5.
Lets's calculate LCM of 582,7288
| 2 | 582, 7288 |
| 291, 3644 |
∴ So the LCM of the given numbers is 2 x 291 x 3644 = 2120808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2120808
Therefore, the GCF of Fractions 9850/582,8445/7288 is 5/2120808
Least Common Multiple of 582,7288 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 582,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,7288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,7288) x common factors =2 x 1 = 2
LCM(582,7288) = ( 582 × 7288 ) / 2
LCM(582,7288) = 4241616 / 2
LCM(582,7288) = 2120808
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FAQs on GCF of Fractions of 9850/582, 8445/7288
1. What is the HCF of 9850,8445?
The HCF of 9850,8445 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 9850/582, 8445/7288?
Answer: GCF of Numerators as per given numbers 9850/582, 8445/7288 is
GCF of Numerators i.e. for 9850,8445 is 5
LCM of denominators i.e. for 582,7288 is 2120808.
Thus, GCF of Fractions is 5/2120808.Finally, GCF of Fractions for 9850/582, 8445/7288 is 5/2120808.