GCF of 4806/538, 9786/2943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4806/538, 9786/2943 i.e 6/1583334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4806/538, 9786/2943.
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 4806/538,9786/2943?
Given fractions are 4806/538,9786/2943
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 4806/538,9786/2943, numerators are 4806,9786
Denominators are 538,2943
The GCF of 4806,9786 is 6 .
LCM of 538,2943 is 1583334.
The greatest common factor of 4806/538,9786/2943 = [GCF of 4806,9786]/[LCM of 538,2943]= 6/1583334
Therefore, the GCF of 4806/538,9786/2943 is 6/1583334.
To find the highest common factor of 4806,9786, we have to find the factors of both numbers and list the highest common factor.
The factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806
The factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786
The HCF of 4806,9786 is 6.
Lets's calculate GCF of 4806,9786
| 2 | 4806, 9786 |
| 3 | 2403, 4893 |
| 801, 1631 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4806,9786 By Matching Biggest Common Factor Method
Now, list down the factors of 4806
:1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806
Now, list down the factors of 9786
:1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786
Greatest Common Factor
We found the factors 4806,9786 . The biggest common factor number is the GCF number.
So the greatest common factor 4806,9786 is 6.
Lets's calculate LCM of 538,2943
Given numbers has no common factors except 1. So, there LCM is their product i.e 1583334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1583334
Therefore, the GCF of Fractions 4806/538,9786/2943 is 6/1583334
Least Common Multiple of 538,2943 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 538,2943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2943) x common factors =1 x 1 = 1
LCM(538,2943) = ( 538 × 2943 ) / 1
LCM(538,2943) = 1583334 / 1
LCM(538,2943) = 1583334
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FAQs on GCF of Fractions of 4806/538, 9786/2943
1. What is the HCF of 4806,9786?
The HCF of 4806,9786 is 6
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 4806/538, 9786/2943?
Answer: GCF of Numerators as per given numbers 4806/538, 9786/2943 is
GCF of Numerators i.e. for 4806,9786 is 6
LCM of denominators i.e. for 538,2943 is 1583334.
Thus, GCF of Fractions is 6/1583334.Finally, GCF of Fractions for 4806/538, 9786/2943 is 6/1583334.