Use our free GCF of Fractions Calculator tool to compute the GCF of 364/688, 923/191 i.e 13/131408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/688, 923/191.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/688,923/191
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 364/688,923/191, numerators are 364,923
Denominators are 688,191
The GCF of 364,923 is 13 .
LCM of 688,191 is 131408.
The greatest common factor of 364/688,923/191 = [GCF of 364,923]/[LCM of 688,191]= 13/131408
Therefore, the GCF of 364/688,923/191 is 13/131408.
To find the highest common factor of 364,923, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 923 are 1, 13, 71, 923
The HCF of 364,923 is 13.
Lets's calculate GCF of 364,923
13 | 364, 923 |
28, 71 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 923
:1,13,71,923
Greatest Common Factor
We found the factors 364,923 . The biggest common factor number is the GCF number.
So the greatest common factor 364,923 is 13.
Lets's calculate LCM of 688,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 131408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/131408
Therefore, the GCF of Fractions 364/688,923/191 is 13/131408
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 688,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,191) x common factors =1 x 1 = 1
LCM(688,191) = ( 688 × 191 ) / 1
LCM(688,191) = 131408 / 1
LCM(688,191) = 131408
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 364,923?
The HCF of 364,923 is 13
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 364/688, 923/191?
Answer: GCF of Numerators as per given numbers 364/688, 923/191 is
GCF of Numerators i.e. for 364,923 is 13
LCM of denominators i.e. for 688,191 is 131408.
Thus, GCF of Fractions is 13/131408.Finally, GCF of Fractions for 364/688, 923/191 is 13/131408.