Use our free GCF of Fractions Calculator tool to compute the GCF of 308/747, 231/253 i.e 77/188991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/747, 231/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/747,231/253
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 308/747,231/253, numerators are 308,231
Denominators are 747,253
The GCF of 308,231 is 77 .
LCM of 747,253 is 188991.
The greatest common factor of 308/747,231/253 = [GCF of 308,231]/[LCM of 747,253]= 77/188991
Therefore, the GCF of 308/747,231/253 is 77/188991.
To find the highest common factor of 308,231, we have to find the factors of both numbers and list the highest common factor.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 308,231 is 77.
Lets's calculate GCF of 308,231
7 | 308, 231 |
11 | 44, 33 |
4, 3 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 308,231 . The biggest common factor number is the GCF number.
So the greatest common factor 308,231 is 77.
Lets's calculate LCM of 747,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 188991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/188991
Therefore, the GCF of Fractions 308/747,231/253 is 77/188991
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 747,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,253) x common factors =1 x 1 = 1
LCM(747,253) = ( 747 × 253 ) / 1
LCM(747,253) = 188991 / 1
LCM(747,253) = 188991
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 308,231?
The HCF of 308,231 is 77
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 308/747, 231/253?
Answer: GCF of Numerators as per given numbers 308/747, 231/253 is
GCF of Numerators i.e. for 308,231 is 77
LCM of denominators i.e. for 747,253 is 188991.
Thus, GCF of Fractions is 77/188991.Finally, GCF of Fractions for 308/747, 231/253 is 77/188991.