Use our free GCF of Fractions Calculator tool to compute the GCF of 7372/384, 9352/2746 i.e 4/527232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7372/384, 9352/2746.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7372/384,9352/2746
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 7372/384,9352/2746, numerators are 7372,9352
Denominators are 384,2746
The GCF of 7372,9352 is 4 .
LCM of 384,2746 is 527232.
The greatest common factor of 7372/384,9352/2746 = [GCF of 7372,9352]/[LCM of 384,2746]= 4/527232
Therefore, the GCF of 7372/384,9352/2746 is 4/527232.
To find the highest common factor of 7372,9352, we have to find the factors of both numbers and list the highest common factor.
The factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352
The HCF of 7372,9352 is 4.
Lets's calculate GCF of 7372,9352
2 | 7372, 9352 |
2 | 3686, 4676 |
1843, 2338 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 7372
:1,2,4,19,38,76,97,194,388,1843,3686,7372
Now, list down the factors of 9352
:1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352
Greatest Common Factor
We found the factors 7372,9352 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,9352 is 4.
Lets's calculate LCM of 384,2746
2 | 384, 2746 |
192, 1373 |
∴ So the LCM of the given numbers is 2 x 192 x 1373 = 527232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/527232
Therefore, the GCF of Fractions 7372/384,9352/2746 is 4/527232
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 384,2746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,2746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,2746) x common factors =2 x 1 = 2
LCM(384,2746) = ( 384 × 2746 ) / 2
LCM(384,2746) = 1054464 / 2
LCM(384,2746) = 527232
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7372,9352?
The HCF of 7372,9352 is 4
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 7372/384, 9352/2746?
Answer: GCF of Numerators as per given numbers 7372/384, 9352/2746 is
GCF of Numerators i.e. for 7372,9352 is 4
LCM of denominators i.e. for 384,2746 is 527232.
Thus, GCF of Fractions is 4/527232.Finally, GCF of Fractions for 7372/384, 9352/2746 is 4/527232.