GCF of 6050/258, 3048/4948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6050/258, 3048/4948 i.e 2/638292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6050/258, 3048/4948.
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 6050/258,3048/4948?
Given fractions are 6050/258,3048/4948
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 6050/258,3048/4948, numerators are 6050,3048
Denominators are 258,4948
The GCF of 6050,3048 is 2 .
LCM of 258,4948 is 638292.
The greatest common factor of 6050/258,3048/4948 = [GCF of 6050,3048]/[LCM of 258,4948]= 2/638292
Therefore, the GCF of 6050/258,3048/4948 is 2/638292.
To find the highest common factor of 6050,3048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050
The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
The HCF of 6050,3048 is 2.
Lets's calculate GCF of 6050,3048
| 2 | 6050, 3048 |
| 3025, 1524 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6050,3048 By Matching Biggest Common Factor Method
Now, list down the factors of 6050
:1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050
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 6050,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 6050,3048 is 2.
Lets's calculate LCM of 258,4948
| 2 | 258, 4948 |
| 129, 2474 |
∴ So the LCM of the given numbers is 2 x 129 x 2474 = 638292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/638292
Therefore, the GCF of Fractions 6050/258,3048/4948 is 2/638292
Least Common Multiple of 258,4948 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 258,4948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,4948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,4948) x common factors =2 x 1 = 2
LCM(258,4948) = ( 258 × 4948 ) / 2
LCM(258,4948) = 1276584 / 2
LCM(258,4948) = 638292
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6050/258, 3048/4948
1. What is the HCF of 6050,3048?
The HCF of 6050,3048 is 2
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 6050/258, 3048/4948?
Answer: GCF of Numerators as per given numbers 6050/258, 3048/4948 is
GCF of Numerators i.e. for 6050,3048 is 2
LCM of denominators i.e. for 258,4948 is 638292.
Thus, GCF of Fractions is 2/638292.Finally, GCF of Fractions for 6050/258, 3048/4948 is 2/638292.