Use our free GCF of Fractions Calculator tool to compute the GCF of 11/368, 77/6932 i.e 11/637744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/368, 77/6932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/368,77/6932
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 11/368,77/6932, numerators are 11,77
Denominators are 368,6932
The GCF of 11,77 is 11 .
LCM of 368,6932 is 637744.
The greatest common factor of 11/368,77/6932 = [GCF of 11,77]/[LCM of 368,6932]= 11/637744
Therefore, the GCF of 11/368,77/6932 is 11/637744.
To find the highest common factor of 11,77, 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 77 are 1, 7, 11, 77
The HCF of 11,77 is 11.
Lets's calculate GCF of 11,77
11 | 11, 77 |
1, 7 |
∴ So the GCF of the given numbers is 11 = 11
Lets's calculate LCM of 368,6932
2 | 368, 6932 |
2 | 184, 3466 |
92, 1733 |
∴ So the LCM of the given numbers is 2 x 2 x 92 x 1733 = 637744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/637744
Therefore, the GCF of Fractions 11/368,77/6932 is 11/637744
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 368,6932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,6932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(368,6932) x common factors =4 x 1 = 4
LCM(368,6932) = ( 368 × 6932 ) / 4
LCM(368,6932) = 2550976 / 4
LCM(368,6932) = 637744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,77?
The HCF of 11,77 is 11
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 11/368, 77/6932?
Answer: GCF of Numerators as per given numbers 11/368, 77/6932 is
GCF of Numerators i.e. for 11,77 is 11
LCM of denominators i.e. for 368,6932 is 637744.
Thus, GCF of Fractions is 11/637744.Finally, GCF of Fractions for 11/368, 77/6932 is 11/637744.