GCF of 8413/582, 8883/2300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8413/582, 8883/2300 i.e 47/669300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8413/582, 8883/2300.
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 8413/582,8883/2300?
Given fractions are 8413/582,8883/2300
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 8413/582,8883/2300, numerators are 8413,8883
Denominators are 582,2300
The GCF of 8413,8883 is 47 .
LCM of 582,2300 is 669300.
The greatest common factor of 8413/582,8883/2300 = [GCF of 8413,8883]/[LCM of 582,2300]= 47/669300
Therefore, the GCF of 8413/582,8883/2300 is 47/669300.
To find the highest common factor of 8413,8883, we have to find the factors of both numbers and list the highest common factor.
The factors of 8413 are 1, 47, 179, 8413
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The HCF of 8413,8883 is 47.
Lets's calculate GCF of 8413,8883
| 47 | 8413, 8883 |
| 179, 189 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 8413,8883 By Matching Biggest Common Factor Method
Now, list down the factors of 8413
:1,47,179,8413
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 8413,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 8413,8883 is 47.
Lets's calculate LCM of 582,2300
| 2 | 582, 2300 |
| 291, 1150 |
∴ So the LCM of the given numbers is 2 x 291 x 1150 = 669300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/669300
Therefore, the GCF of Fractions 8413/582,8883/2300 is 47/669300
Least Common Multiple of 582,2300 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 582,2300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,2300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,2300) x common factors =2 x 1 = 2
LCM(582,2300) = ( 582 × 2300 ) / 2
LCM(582,2300) = 1338600 / 2
LCM(582,2300) = 669300
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FAQs on GCF of Fractions of 8413/582, 8883/2300
1. What is the HCF of 8413,8883?
The HCF of 8413,8883 is 47
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 8413/582, 8883/2300?
Answer: GCF of Numerators as per given numbers 8413/582, 8883/2300 is
GCF of Numerators i.e. for 8413,8883 is 47
LCM of denominators i.e. for 582,2300 is 669300.
Thus, GCF of Fractions is 47/669300.Finally, GCF of Fractions for 8413/582, 8883/2300 is 47/669300.