GCF of 4641/309, 7668/4983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4641/309, 7668/4983 i.e 3/513249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4641/309, 7668/4983.
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 4641/309,7668/4983?
Given fractions are 4641/309,7668/4983
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 4641/309,7668/4983, numerators are 4641,7668
Denominators are 309,4983
The GCF of 4641,7668 is 3 .
LCM of 309,4983 is 513249.
The greatest common factor of 4641/309,7668/4983 = [GCF of 4641,7668]/[LCM of 309,4983]= 3/513249
Therefore, the GCF of 4641/309,7668/4983 is 3/513249.
To find the highest common factor of 4641,7668, we have to find the factors of both numbers and list the highest common factor.
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
The HCF of 4641,7668 is 3.
Lets's calculate GCF of 4641,7668
| 3 | 4641, 7668 |
| 1547, 2556 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4641,7668 By Matching Biggest Common Factor Method
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Now, list down the factors of 7668
:1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Greatest Common Factor
We found the factors 4641,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 4641,7668 is 3.
Lets's calculate LCM of 309,4983
| 3 | 309, 4983 |
| 103, 1661 |
∴ So the LCM of the given numbers is 3 x 103 x 1661 = 513249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/513249
Therefore, the GCF of Fractions 4641/309,7668/4983 is 3/513249
Least Common Multiple of 309,4983 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 309,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,4983) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,4983) x common factors =3 x 1 = 3
LCM(309,4983) = ( 309 × 4983 ) / 3
LCM(309,4983) = 1539747 / 3
LCM(309,4983) = 513249
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FAQs on GCF of Fractions of 4641/309, 7668/4983
1. What is the HCF of 4641,7668?
The HCF of 4641,7668 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 4641/309, 7668/4983?
Answer: GCF of Numerators as per given numbers 4641/309, 7668/4983 is
GCF of Numerators i.e. for 4641,7668 is 3
LCM of denominators i.e. for 309,4983 is 513249.
Thus, GCF of Fractions is 3/513249.Finally, GCF of Fractions for 4641/309, 7668/4983 is 3/513249.