Use our free GCF of Fractions Calculator tool to compute the GCF of 271/813, 688/500 i.e 1/406500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/813, 688/500.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/813,688/500
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 271/813,688/500, numerators are 271,688
Denominators are 813,500
The GCF of 271,688 is 1 .
LCM of 813,500 is 406500.
The greatest common factor of 271/813,688/500 = [GCF of 271,688]/[LCM of 813,500]= 1/406500
Therefore, the GCF of 271/813,688/500 is 1/406500.
To find the highest common factor of 271,688, 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 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 271,688 is 1.
Lets's calculate GCF of 271,688
∴ 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 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 271,688 . The biggest common factor number is the GCF number.
So the greatest common factor 271,688 is 1.
Lets's calculate LCM of 813,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 406500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406500
Therefore, the GCF of Fractions 271/813,688/500 is 1/406500
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 813,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,500) x common factors =1 x 1 = 1
LCM(813,500) = ( 813 × 500 ) / 1
LCM(813,500) = 406500 / 1
LCM(813,500) = 406500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 271,688?
The HCF of 271,688 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 271/813, 688/500?
Answer: GCF of Numerators as per given numbers 271/813, 688/500 is
GCF of Numerators i.e. for 271,688 is 1
LCM of denominators i.e. for 813,500 is 406500.
Thus, GCF of Fractions is 1/406500.Finally, GCF of Fractions for 271/813, 688/500 is 1/406500.