GCF of 6111/442, 4798/8902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6111/442, 4798/8902 i.e 1/1967342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6111/442, 4798/8902.
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 6111/442,4798/8902?
Given fractions are 6111/442,4798/8902
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 6111/442,4798/8902, numerators are 6111,4798
Denominators are 442,8902
The GCF of 6111,4798 is 1 .
LCM of 442,8902 is 1967342.
The greatest common factor of 6111/442,4798/8902 = [GCF of 6111,4798]/[LCM of 442,8902]= 1/1967342
Therefore, the GCF of 6111/442,4798/8902 is 1/1967342.
To find the highest common factor of 6111,4798, we have to find the factors of both numbers and list the highest common factor.
The factors of 6111 are 1, 3, 7, 9, 21, 63, 97, 291, 679, 873, 2037, 6111
The factors of 4798 are 1, 2, 2399, 4798
The HCF of 6111,4798 is 1.
Lets's calculate GCF of 6111,4798
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6111,4798 By Matching Biggest Common Factor Method
Now, list down the factors of 6111
:1,3,7,9,21,63,97,291,679,873,2037,6111
Now, list down the factors of 4798
:1,2,2399,4798
Greatest Common Factor
We found the factors 6111,4798 . The biggest common factor number is the GCF number.
So the greatest common factor 6111,4798 is 1.
Lets's calculate LCM of 442,8902
| 2 | 442, 8902 |
| 221, 4451 |
∴ So the LCM of the given numbers is 2 x 221 x 4451 = 1967342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1967342
Therefore, the GCF of Fractions 6111/442,4798/8902 is 1/1967342
Least Common Multiple of 442,8902 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 442,8902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,8902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,8902) x common factors =2 x 1 = 2
LCM(442,8902) = ( 442 × 8902 ) / 2
LCM(442,8902) = 3934684 / 2
LCM(442,8902) = 1967342
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FAQs on GCF of Fractions of 6111/442, 4798/8902
1. What is the HCF of 6111,4798?
The HCF of 6111,4798 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 6111/442, 4798/8902?
Answer: GCF of Numerators as per given numbers 6111/442, 4798/8902 is
GCF of Numerators i.e. for 6111,4798 is 1
LCM of denominators i.e. for 442,8902 is 1967342.
Thus, GCF of Fractions is 1/1967342.Finally, GCF of Fractions for 6111/442, 4798/8902 is 1/1967342.