Use our free GCF of Fractions Calculator tool to compute the GCF of 11/125, 16/267 i.e 1/33375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/125, 16/267.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/125,16/267
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 11/125,16/267, numerators are 11,16
Denominators are 125,267
The GCF of 11,16 is 1 .
LCM of 125,267 is 33375.
The greatest common factor of 11/125,16/267 = [GCF of 11,16]/[LCM of 125,267]= 1/33375
Therefore, the GCF of 11/125,16/267 is 1/33375.
To find the highest common factor of 11,16, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 16 are 1, 2, 4, 8, 16
The HCF of 11,16 is 1.
Lets's calculate GCF of 11,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 125,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 33375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33375
Therefore, the GCF of Fractions 11/125,16/267 is 1/33375
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 125,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,267) x common factors =1 x 1 = 1
LCM(125,267) = ( 125 × 267 ) / 1
LCM(125,267) = 33375 / 1
LCM(125,267) = 33375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,16?
The HCF of 11,16 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 11/125, 16/267?
Answer: GCF of Numerators as per given numbers 11/125, 16/267 is
GCF of Numerators i.e. for 11,16 is 1
LCM of denominators i.e. for 125,267 is 33375.
Thus, GCF of Fractions is 1/33375.Finally, GCF of Fractions for 11/125, 16/267 is 1/33375.