GCF of 48/52, 115/30, 330/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/52, 115/30, 330/348 i.e 1/22620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/52, 115/30, 330/348.
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 48/52,115/30,330/348?
Given fractions are 48/52,115/30,330/348
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 48/52,115/30,330/348, numerators are 48,115,330
Denominators are 52,30,348
The GCF of 48,115,330 is 1 .
LCM of 52,30,348 is 22620.
The greatest common factor of 48/52,115/30,330/348 = [GCF of 48,115,330]/[LCM of 52,30,348]= 1/22620
Therefore, the GCF of 48/52,115/30,330/348 is 1/22620.
To find the highest common factor of 48,115,330, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 115 are 1, 5, 23, 115
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The HCF of 48,115,330 is 1.
Lets's calculate GCF of 48,115,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 48,115,330 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 115
:1,5,23,115
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 48,115,330 . The biggest common factor number is the GCF number.
So the greatest common factor 48,115,330 is 1.
Lets's calculate LCM of 52,30,348
| 2 | 52, 30, 348 |
| 2 | 26, 15, 174 |
| 3 | 13, 15, 87 |
| 13, 5, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 5 x 29 = 22620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22620
Therefore, the GCF of Fractions 48/52,115/30,330/348 is 1/22620
Least Common Multiple of 52,30,348 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 52,30,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,30,348) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(52,30,348) x common factors =2 x 12 = 24
LCM(52,30,348) = ( 52 × 30 × 348 ) / 24
LCM(52,30,348) = 542880 / 24
LCM(52,30,348) = 22620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 48/52, 115/30, 330/348
1. What is the HCF of 48,115,330?
The HCF of 48,115,330 is 1
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 48/52, 115/30, 330/348?
Answer: GCF of Numerators as per given numbers 48/52, 115/30, 330/348 is
GCF of Numerators i.e. for 48,115,330 is 1
LCM of denominators i.e. for 52,30,348 is 22620.
Thus, GCF of Fractions is 1/22620.Finally, GCF of Fractions for 48/52, 115/30, 330/348 is 1/22620.