GCF of 4881/189, 7548/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4881/189, 7548/789 i.e 3/49707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4881/189, 7548/789.
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 4881/189,7548/789?
Given fractions are 4881/189,7548/789
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 4881/189,7548/789, numerators are 4881,7548
Denominators are 189,789
The GCF of 4881,7548 is 3 .
LCM of 189,789 is 49707.
The greatest common factor of 4881/189,7548/789 = [GCF of 4881,7548]/[LCM of 189,789]= 3/49707
Therefore, the GCF of 4881/189,7548/789 is 3/49707.
To find the highest common factor of 4881,7548, we have to find the factors of both numbers and list the highest common factor.
The factors of 4881 are 1, 3, 1627, 4881
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The HCF of 4881,7548 is 3.
Lets's calculate GCF of 4881,7548
| 3 | 4881, 7548 |
| 1627, 2516 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4881,7548 By Matching Biggest Common Factor Method
Now, list down the factors of 4881
:1,3,1627,4881
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Greatest Common Factor
We found the factors 4881,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 4881,7548 is 3.
Lets's calculate LCM of 189,789
| 3 | 189, 789 |
| 63, 263 |
∴ So the LCM of the given numbers is 3 x 63 x 263 = 49707
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49707
Therefore, the GCF of Fractions 4881/189,7548/789 is 3/49707
Least Common Multiple of 189,789 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 189,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(189,789) x common factors =3 x 1 = 3
LCM(189,789) = ( 189 × 789 ) / 3
LCM(189,789) = 149121 / 3
LCM(189,789) = 49707
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FAQs on GCF of Fractions of 4881/189, 7548/789
1. What is the HCF of 4881,7548?
The HCF of 4881,7548 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 4881/189, 7548/789?
Answer: GCF of Numerators as per given numbers 4881/189, 7548/789 is
GCF of Numerators i.e. for 4881,7548 is 3
LCM of denominators i.e. for 189,789 is 49707.
Thus, GCF of Fractions is 3/49707.Finally, GCF of Fractions for 4881/189, 7548/789 is 3/49707.