GCF of 2715/247, 9768/2418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2715/247, 9768/2418 i.e 3/45942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2715/247, 9768/2418.
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 2715/247,9768/2418?
Given fractions are 2715/247,9768/2418
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 2715/247,9768/2418, numerators are 2715,9768
Denominators are 247,2418
The GCF of 2715,9768 is 3 .
LCM of 247,2418 is 45942.
The greatest common factor of 2715/247,9768/2418 = [GCF of 2715,9768]/[LCM of 247,2418]= 3/45942
Therefore, the GCF of 2715/247,9768/2418 is 3/45942.
To find the highest common factor of 2715,9768, we have to find the factors of both numbers and list the highest common factor.
The factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The HCF of 2715,9768 is 3.
Lets's calculate GCF of 2715,9768
| 3 | 2715, 9768 |
| 905, 3256 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2715,9768 By Matching Biggest Common Factor Method
Now, list down the factors of 2715
:1,3,5,15,181,543,905,2715
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Greatest Common Factor
We found the factors 2715,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 2715,9768 is 3.
Lets's calculate LCM of 247,2418
| 13 | 247, 2418 |
| 19, 186 |
∴ So the LCM of the given numbers is 13 x 19 x 186 = 45942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45942
Therefore, the GCF of Fractions 2715/247,9768/2418 is 3/45942
Least Common Multiple of 247,2418 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 247,2418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,2418) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(247,2418) x common factors =13 x 1 = 13
LCM(247,2418) = ( 247 × 2418 ) / 13
LCM(247,2418) = 597246 / 13
LCM(247,2418) = 45942
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FAQs on GCF of Fractions of 2715/247, 9768/2418
1. What is the HCF of 2715,9768?
The HCF of 2715,9768 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 2715/247, 9768/2418?
Answer: GCF of Numerators as per given numbers 2715/247, 9768/2418 is
GCF of Numerators i.e. for 2715,9768 is 3
LCM of denominators i.e. for 247,2418 is 45942.
Thus, GCF of Fractions is 3/45942.Finally, GCF of Fractions for 2715/247, 9768/2418 is 3/45942.