GCF of 5995/348, 7260/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5995/348, 7260/286 i.e 55/49764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5995/348, 7260/286.
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 5995/348,7260/286?
Given fractions are 5995/348,7260/286
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 5995/348,7260/286, numerators are 5995,7260
Denominators are 348,286
The GCF of 5995,7260 is 55 .
LCM of 348,286 is 49764.
The greatest common factor of 5995/348,7260/286 = [GCF of 5995,7260]/[LCM of 348,286]= 55/49764
Therefore, the GCF of 5995/348,7260/286 is 55/49764.
To find the highest common factor of 5995,7260, we have to find the factors of both numbers and list the highest common factor.
The factors of 5995 are 1, 5, 11, 55, 109, 545, 1199, 5995
The factors of 7260 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 121, 132, 165, 220, 242, 330, 363, 484, 605, 660, 726, 1210, 1452, 1815, 2420, 3630, 7260
The HCF of 5995,7260 is 55.
Lets's calculate GCF of 5995,7260
| 5 | 5995, 7260 |
| 11 | 1199, 1452 |
| 109, 132 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 5995,7260 By Matching Biggest Common Factor Method
Now, list down the factors of 5995
:1,5,11,55,109,545,1199,5995
Now, list down the factors of 7260
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260
Greatest Common Factor
We found the factors 5995,7260 . The biggest common factor number is the GCF number.
So the greatest common factor 5995,7260 is 55.
Lets's calculate LCM of 348,286
| 2 | 348, 286 |
| 174, 143 |
∴ So the LCM of the given numbers is 2 x 174 x 143 = 49764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/49764
Therefore, the GCF of Fractions 5995/348,7260/286 is 55/49764
Least Common Multiple of 348,286 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 348,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(348,286) x common factors =2 x 1 = 2
LCM(348,286) = ( 348 × 286 ) / 2
LCM(348,286) = 99528 / 2
LCM(348,286) = 49764
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5995/348, 7260/286
1. What is the HCF of 5995,7260?
The HCF of 5995,7260 is 55
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 5995/348, 7260/286?
Answer: GCF of Numerators as per given numbers 5995/348, 7260/286 is
GCF of Numerators i.e. for 5995,7260 is 55
LCM of denominators i.e. for 348,286 is 49764.
Thus, GCF of Fractions is 55/49764.Finally, GCF of Fractions for 5995/348, 7260/286 is 55/49764.