GCF of 2802/708, 9855/3849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2802/708, 9855/3849 i.e 3/908364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2802/708, 9855/3849.
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 2802/708,9855/3849?
Given fractions are 2802/708,9855/3849
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 2802/708,9855/3849, numerators are 2802,9855
Denominators are 708,3849
The GCF of 2802,9855 is 3 .
LCM of 708,3849 is 908364.
The greatest common factor of 2802/708,9855/3849 = [GCF of 2802,9855]/[LCM of 708,3849]= 3/908364
Therefore, the GCF of 2802/708,9855/3849 is 3/908364.
To find the highest common factor of 2802,9855, we have to find the factors of both numbers and list the highest common factor.
The factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The HCF of 2802,9855 is 3.
Lets's calculate GCF of 2802,9855
| 3 | 2802, 9855 |
| 934, 3285 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2802,9855 By Matching Biggest Common Factor Method
Now, list down the factors of 2802
:1,2,3,6,467,934,1401,2802
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Greatest Common Factor
We found the factors 2802,9855 . The biggest common factor number is the GCF number.
So the greatest common factor 2802,9855 is 3.
Lets's calculate LCM of 708,3849
| 3 | 708, 3849 |
| 236, 1283 |
∴ So the LCM of the given numbers is 3 x 236 x 1283 = 908364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/908364
Therefore, the GCF of Fractions 2802/708,9855/3849 is 3/908364
Least Common Multiple of 708,3849 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 708,3849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,3849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,3849) x common factors =3 x 1 = 3
LCM(708,3849) = ( 708 × 3849 ) / 3
LCM(708,3849) = 2725092 / 3
LCM(708,3849) = 908364
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FAQs on GCF of Fractions of 2802/708, 9855/3849
1. What is the HCF of 2802,9855?
The HCF of 2802,9855 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 2802/708, 9855/3849?
Answer: GCF of Numerators as per given numbers 2802/708, 9855/3849 is
GCF of Numerators i.e. for 2802,9855 is 3
LCM of denominators i.e. for 708,3849 is 908364.
Thus, GCF of Fractions is 3/908364.Finally, GCF of Fractions for 2802/708, 9855/3849 is 3/908364.