GCF of 9039/271, 5142/2788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9039/271, 5142/2788 i.e 3/755548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/271, 5142/2788.
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 9039/271,5142/2788?
Given fractions are 9039/271,5142/2788
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 9039/271,5142/2788, numerators are 9039,5142
Denominators are 271,2788
The GCF of 9039,5142 is 3 .
LCM of 271,2788 is 755548.
The greatest common factor of 9039/271,5142/2788 = [GCF of 9039,5142]/[LCM of 271,2788]= 3/755548
Therefore, the GCF of 9039/271,5142/2788 is 3/755548.
To find the highest common factor of 9039,5142, we have to find the factors of both numbers and list the highest common factor.
The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039
The factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142
The HCF of 9039,5142 is 3.
Lets's calculate GCF of 9039,5142
| 3 | 9039, 5142 |
| 3013, 1714 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9039,5142 By Matching Biggest Common Factor Method
Now, list down the factors of 9039
:1,3,23,69,131,393,3013,9039
Now, list down the factors of 5142
:1,2,3,6,857,1714,2571,5142
Greatest Common Factor
We found the factors 9039,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,5142 is 3.
Lets's calculate LCM of 271,2788
Given numbers has no common factors except 1. So, there LCM is their product i.e 755548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/755548
Therefore, the GCF of Fractions 9039/271,5142/2788 is 3/755548
Least Common Multiple of 271,2788 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 271,2788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,2788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,2788) x common factors =1 x 1 = 1
LCM(271,2788) = ( 271 × 2788 ) / 1
LCM(271,2788) = 755548 / 1
LCM(271,2788) = 755548
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FAQs on GCF of Fractions of 9039/271, 5142/2788
1. What is the HCF of 9039,5142?
The HCF of 9039,5142 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 9039/271, 5142/2788?
Answer: GCF of Numerators as per given numbers 9039/271, 5142/2788 is
GCF of Numerators i.e. for 9039,5142 is 3
LCM of denominators i.e. for 271,2788 is 755548.
Thus, GCF of Fractions is 3/755548.Finally, GCF of Fractions for 9039/271, 5142/2788 is 3/755548.