GCF of 2539/315, 9060/9801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2539/315, 9060/9801 i.e 1/343035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2539/315, 9060/9801.
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 2539/315,9060/9801?
Given fractions are 2539/315,9060/9801
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 2539/315,9060/9801, numerators are 2539,9060
Denominators are 315,9801
The GCF of 2539,9060 is 1 .
LCM of 315,9801 is 343035.
The greatest common factor of 2539/315,9060/9801 = [GCF of 2539,9060]/[LCM of 315,9801]= 1/343035
Therefore, the GCF of 2539/315,9060/9801 is 1/343035.
To find the highest common factor of 2539,9060, we have to find the factors of both numbers and list the highest common factor.
The factors of 2539 are 1, 2539
The factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060
The HCF of 2539,9060 is 1.
Lets's calculate GCF of 2539,9060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2539,9060 By Matching Biggest Common Factor Method
Now, list down the factors of 2539
:1,2539
Now, list down the factors of 9060
:1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Greatest Common Factor
We found the factors 2539,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 2539,9060 is 1.
Lets's calculate LCM of 315,9801
| 3 | 315, 9801 |
| 3 | 105, 3267 |
| 35, 1089 |
∴ So the LCM of the given numbers is 3 x 3 x 35 x 1089 = 343035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343035
Therefore, the GCF of Fractions 2539/315,9060/9801 is 1/343035
Least Common Multiple of 315,9801 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 315,9801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,9801) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(315,9801) x common factors =9 x 1 = 9
LCM(315,9801) = ( 315 × 9801 ) / 9
LCM(315,9801) = 3087315 / 9
LCM(315,9801) = 343035
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FAQs on GCF of Fractions of 2539/315, 9060/9801
1. What is the HCF of 2539,9060?
The HCF of 2539,9060 is 1
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 2539/315, 9060/9801?
Answer: GCF of Numerators as per given numbers 2539/315, 9060/9801 is
GCF of Numerators i.e. for 2539,9060 is 1
LCM of denominators i.e. for 315,9801 is 343035.
Thus, GCF of Fractions is 1/343035.Finally, GCF of Fractions for 2539/315, 9060/9801 is 1/343035.