Use our free GCF of Fractions Calculator tool to compute the GCF of 14/747, 11/9234 i.e 1/766422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/747, 11/9234.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/747,11/9234
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 14/747,11/9234, numerators are 14,11
Denominators are 747,9234
The GCF of 14,11 is 1 .
LCM of 747,9234 is 766422.
The greatest common factor of 14/747,11/9234 = [GCF of 14,11]/[LCM of 747,9234]= 1/766422
Therefore, the GCF of 14/747,11/9234 is 1/766422.
To find the highest common factor of 14,11, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 11 are 1, 11
The HCF of 14,11 is 1.
Lets's calculate GCF of 14,11
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 747,9234
3 | 747, 9234 |
3 | 249, 3078 |
83, 1026 |
∴ So the LCM of the given numbers is 3 x 3 x 83 x 1026 = 766422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766422
Therefore, the GCF of Fractions 14/747,11/9234 is 1/766422
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 747,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,9234) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(747,9234) x common factors =9 x 1 = 9
LCM(747,9234) = ( 747 × 9234 ) / 9
LCM(747,9234) = 6897798 / 9
LCM(747,9234) = 766422
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,11?
The HCF of 14,11 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 14/747, 11/9234?
Answer: GCF of Numerators as per given numbers 14/747, 11/9234 is
GCF of Numerators i.e. for 14,11 is 1
LCM of denominators i.e. for 747,9234 is 766422.
Thus, GCF of Fractions is 1/766422.Finally, GCF of Fractions for 14/747, 11/9234 is 1/766422.