Use our free GCF of Fractions Calculator tool to compute the GCF of 131/388, 154/936 i.e 1/90792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/388, 154/936.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 131/388,154/936
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 131/388,154/936, numerators are 131,154
Denominators are 388,936
The GCF of 131,154 is 1 .
LCM of 388,936 is 90792.
The greatest common factor of 131/388,154/936 = [GCF of 131,154]/[LCM of 388,936]= 1/90792
Therefore, the GCF of 131/388,154/936 is 1/90792.
To find the highest common factor of 131,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 131 are 1, 131
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 131,154 is 1.
Lets's calculate GCF of 131,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 131
:1,131
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 131,154 . The biggest common factor number is the GCF number.
So the greatest common factor 131,154 is 1.
Lets's calculate LCM of 388,936
2 | 388, 936 |
2 | 194, 468 |
97, 234 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 234 = 90792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90792
Therefore, the GCF of Fractions 131/388,154/936 is 1/90792
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 388,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,936) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(388,936) x common factors =4 x 1 = 4
LCM(388,936) = ( 388 × 936 ) / 4
LCM(388,936) = 363168 / 4
LCM(388,936) = 90792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 131,154?
The HCF of 131,154 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 131/388, 154/936?
Answer: GCF of Numerators as per given numbers 131/388, 154/936 is
GCF of Numerators i.e. for 131,154 is 1
LCM of denominators i.e. for 388,936 is 90792.
Thus, GCF of Fractions is 1/90792.Finally, GCF of Fractions for 131/388, 154/936 is 1/90792.