Use our free GCF of Fractions Calculator tool to compute the GCF of 271/748, 605/514 i.e 1/192236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/748, 605/514.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/748,605/514
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 271/748,605/514, numerators are 271,605
Denominators are 748,514
The GCF of 271,605 is 1 .
LCM of 748,514 is 192236.
The greatest common factor of 271/748,605/514 = [GCF of 271,605]/[LCM of 748,514]= 1/192236
Therefore, the GCF of 271/748,605/514 is 1/192236.
To find the highest common factor of 271,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 271 are 1, 271
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 271,605 is 1.
Lets's calculate GCF of 271,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 271
:1,271
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 271,605 . The biggest common factor number is the GCF number.
So the greatest common factor 271,605 is 1.
Lets's calculate LCM of 748,514
2 | 748, 514 |
374, 257 |
∴ So the LCM of the given numbers is 2 x 374 x 257 = 192236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192236
Therefore, the GCF of Fractions 271/748,605/514 is 1/192236
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 748,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,514) x common factors =2 x 1 = 2
LCM(748,514) = ( 748 × 514 ) / 2
LCM(748,514) = 384472 / 2
LCM(748,514) = 192236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 271,605?
The HCF of 271,605 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 271/748, 605/514?
Answer: GCF of Numerators as per given numbers 271/748, 605/514 is
GCF of Numerators i.e. for 271,605 is 1
LCM of denominators i.e. for 748,514 is 192236.
Thus, GCF of Fractions is 1/192236.Finally, GCF of Fractions for 271/748, 605/514 is 1/192236.