Use our free GCF of Fractions Calculator tool to compute the GCF of 48/71, 608/31, 539/233 i.e 1/512833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/71, 608/31, 539/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/71,608/31,539/233
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 48/71,608/31,539/233, numerators are 48,608,539
Denominators are 71,31,233
The GCF of 48,608,539 is 1 .
LCM of 71,31,233 is 512833.
The greatest common factor of 48/71,608/31,539/233 = [GCF of 48,608,539]/[LCM of 71,31,233]= 1/512833
Therefore, the GCF of 48/71,608/31,539/233 is 1/512833.
To find the highest common factor of 48,608,539, 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 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 539 are 1, 7, 11, 49, 77, 539
The HCF of 48,608,539 is 1.
Lets's calculate GCF of 48,608,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 539
:1,7,11,49,77,539
Greatest Common Factor
We found the factors 48,608,539 . The biggest common factor number is the GCF number.
So the greatest common factor 48,608,539 is 1.
Lets's calculate LCM of 71,31,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 512833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512833
Therefore, the GCF of Fractions 48/71,608/31,539/233 is 1/512833
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 71,31,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,31,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,31,233) x common factors =1 x 1 = 1
LCM(71,31,233) = ( 71 × 31 × 233 ) / 1
LCM(71,31,233) = 512833 / 1
LCM(71,31,233) = 512833
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,608,539?
The HCF of 48,608,539 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 48/71, 608/31, 539/233?
Answer: GCF of Numerators as per given numbers 48/71, 608/31, 539/233 is
GCF of Numerators i.e. for 48,608,539 is 1
LCM of denominators i.e. for 71,31,233 is 512833.
Thus, GCF of Fractions is 1/512833.Finally, GCF of Fractions for 48/71, 608/31, 539/233 is 1/512833.