GCF of 4989/297, 9147/3091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4989/297, 9147/3091 i.e 3/83457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4989/297, 9147/3091.
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 4989/297,9147/3091?
Given fractions are 4989/297,9147/3091
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 4989/297,9147/3091, numerators are 4989,9147
Denominators are 297,3091
The GCF of 4989,9147 is 3 .
LCM of 297,3091 is 83457.
The greatest common factor of 4989/297,9147/3091 = [GCF of 4989,9147]/[LCM of 297,3091]= 3/83457
Therefore, the GCF of 4989/297,9147/3091 is 3/83457.
To find the highest common factor of 4989,9147, we have to find the factors of both numbers and list the highest common factor.
The factors of 4989 are 1, 3, 1663, 4989
The factors of 9147 are 1, 3, 3049, 9147
The HCF of 4989,9147 is 3.
Lets's calculate GCF of 4989,9147
| 3 | 4989, 9147 |
| 1663, 3049 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4989,9147 By Matching Biggest Common Factor Method
Now, list down the factors of 4989
:1,3,1663,4989
Now, list down the factors of 9147
:1,3,3049,9147
Greatest Common Factor
We found the factors 4989,9147 . The biggest common factor number is the GCF number.
So the greatest common factor 4989,9147 is 3.
Lets's calculate LCM of 297,3091
| 11 | 297, 3091 |
| 27, 281 |
∴ So the LCM of the given numbers is 11 x 27 x 281 = 83457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83457
Therefore, the GCF of Fractions 4989/297,9147/3091 is 3/83457
Least Common Multiple of 297,3091 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 297,3091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,3091) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(297,3091) x common factors =11 x 1 = 11
LCM(297,3091) = ( 297 × 3091 ) / 11
LCM(297,3091) = 918027 / 11
LCM(297,3091) = 83457
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FAQs on GCF of Fractions of 4989/297, 9147/3091
1. What is the HCF of 4989,9147?
The HCF of 4989,9147 is 3
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 4989/297, 9147/3091?
Answer: GCF of Numerators as per given numbers 4989/297, 9147/3091 is
GCF of Numerators i.e. for 4989,9147 is 3
LCM of denominators i.e. for 297,3091 is 83457.
Thus, GCF of Fractions is 3/83457.Finally, GCF of Fractions for 4989/297, 9147/3091 is 3/83457.