Use our free GCF of Fractions Calculator tool to compute the GCF of 94/288, 37/7172 i.e 1/516384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/288, 37/7172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/288,37/7172
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 94/288,37/7172, numerators are 94,37
Denominators are 288,7172
The GCF of 94,37 is 1 .
LCM of 288,7172 is 516384.
The greatest common factor of 94/288,37/7172 = [GCF of 94,37]/[LCM of 288,7172]= 1/516384
Therefore, the GCF of 94/288,37/7172 is 1/516384.
To find the highest common factor of 94,37, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 37 are 1, 37
The HCF of 94,37 is 1.
Lets's calculate GCF of 94,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 288,7172
2 | 288, 7172 |
2 | 144, 3586 |
72, 1793 |
∴ So the LCM of the given numbers is 2 x 2 x 72 x 1793 = 516384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516384
Therefore, the GCF of Fractions 94/288,37/7172 is 1/516384
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 288,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,7172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(288,7172) x common factors =4 x 1 = 4
LCM(288,7172) = ( 288 × 7172 ) / 4
LCM(288,7172) = 2065536 / 4
LCM(288,7172) = 516384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,37?
The HCF of 94,37 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 94/288, 37/7172?
Answer: GCF of Numerators as per given numbers 94/288, 37/7172 is
GCF of Numerators i.e. for 94,37 is 1
LCM of denominators i.e. for 288,7172 is 516384.
Thus, GCF of Fractions is 1/516384.Finally, GCF of Fractions for 94/288, 37/7172 is 1/516384.