GCF of 5193/492, 8865/2925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5193/492, 8865/2925 i.e 9/479700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5193/492, 8865/2925.
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 5193/492,8865/2925?
Given fractions are 5193/492,8865/2925
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 5193/492,8865/2925, numerators are 5193,8865
Denominators are 492,2925
The GCF of 5193,8865 is 9 .
LCM of 492,2925 is 479700.
The greatest common factor of 5193/492,8865/2925 = [GCF of 5193,8865]/[LCM of 492,2925]= 9/479700
Therefore, the GCF of 5193/492,8865/2925 is 9/479700.
To find the highest common factor of 5193,8865, we have to find the factors of both numbers and list the highest common factor.
The factors of 5193 are 1, 3, 9, 577, 1731, 5193
The factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865
The HCF of 5193,8865 is 9.
Lets's calculate GCF of 5193,8865
| 3 | 5193, 8865 |
| 3 | 1731, 2955 |
| 577, 985 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5193,8865 By Matching Biggest Common Factor Method
Now, list down the factors of 5193
:1,3,9,577,1731,5193
Now, list down the factors of 8865
:1,3,5,9,15,45,197,591,985,1773,2955,8865
Greatest Common Factor
We found the factors 5193,8865 . The biggest common factor number is the GCF number.
So the greatest common factor 5193,8865 is 9.
Lets's calculate LCM of 492,2925
| 3 | 492, 2925 |
| 164, 975 |
∴ So the LCM of the given numbers is 3 x 164 x 975 = 479700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/479700
Therefore, the GCF of Fractions 5193/492,8865/2925 is 9/479700
Least Common Multiple of 492,2925 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 492,2925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,2925) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(492,2925) x common factors =3 x 1 = 3
LCM(492,2925) = ( 492 × 2925 ) / 3
LCM(492,2925) = 1439100 / 3
LCM(492,2925) = 479700
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FAQs on GCF of Fractions of 5193/492, 8865/2925
1. What is the HCF of 5193,8865?
The HCF of 5193,8865 is 9
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 5193/492, 8865/2925?
Answer: GCF of Numerators as per given numbers 5193/492, 8865/2925 is
GCF of Numerators i.e. for 5193,8865 is 9
LCM of denominators i.e. for 492,2925 is 479700.
Thus, GCF of Fractions is 9/479700.Finally, GCF of Fractions for 5193/492, 8865/2925 is 9/479700.