GCF of 1204/258, 3048/1716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1204/258, 3048/1716 i.e 4/73788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1204/258, 3048/1716.
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 1204/258,3048/1716?
Given fractions are 1204/258,3048/1716
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 1204/258,3048/1716, numerators are 1204,3048
Denominators are 258,1716
The GCF of 1204,3048 is 4 .
LCM of 258,1716 is 73788.
The greatest common factor of 1204/258,3048/1716 = [GCF of 1204,3048]/[LCM of 258,1716]= 4/73788
Therefore, the GCF of 1204/258,3048/1716 is 4/73788.
To find the highest common factor of 1204,3048, we have to find the factors of both numbers and list the highest common factor.
The factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204
The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
The HCF of 1204,3048 is 4.
Lets's calculate GCF of 1204,3048
| 2 | 1204, 3048 |
| 2 | 602, 1524 |
| 301, 762 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1204,3048 By Matching Biggest Common Factor Method
Now, list down the factors of 1204
:1,2,4,7,14,28,43,86,172,301,602,1204
Now, list down the factors of 3048
:1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Greatest Common Factor
We found the factors 1204,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 1204,3048 is 4.
Lets's calculate LCM of 258,1716
| 2 | 258, 1716 |
| 3 | 129, 858 |
| 43, 286 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 286 = 73788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/73788
Therefore, the GCF of Fractions 1204/258,3048/1716 is 4/73788
Least Common Multiple of 258,1716 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 258,1716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,1716) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(258,1716) x common factors =6 x 1 = 6
LCM(258,1716) = ( 258 × 1716 ) / 6
LCM(258,1716) = 442728 / 6
LCM(258,1716) = 73788
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FAQs on GCF of Fractions of 1204/258, 3048/1716
1. What is the HCF of 1204,3048?
The HCF of 1204,3048 is 4
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 1204/258, 3048/1716?
Answer: GCF of Numerators as per given numbers 1204/258, 3048/1716 is
GCF of Numerators i.e. for 1204,3048 is 4
LCM of denominators i.e. for 258,1716 is 73788.
Thus, GCF of Fractions is 4/73788.Finally, GCF of Fractions for 1204/258, 3048/1716 is 4/73788.