Use our free GCF of Fractions Calculator tool to compute the GCF of 7352/994, 1141/5432 i.e 1/385672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7352/994, 1141/5432.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7352/994,1141/5432
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 7352/994,1141/5432, numerators are 7352,1141
Denominators are 994,5432
The GCF of 7352,1141 is 1 .
LCM of 994,5432 is 385672.
The greatest common factor of 7352/994,1141/5432 = [GCF of 7352,1141]/[LCM of 994,5432]= 1/385672
Therefore, the GCF of 7352/994,1141/5432 is 1/385672.
To find the highest common factor of 7352,1141, we have to find the factors of both numbers and list the highest common factor.
The factors of 7352 are 1, 2, 4, 8, 919, 1838, 3676, 7352
The factors of 1141 are 1, 7, 163, 1141
The HCF of 7352,1141 is 1.
Lets's calculate GCF of 7352,1141
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7352
:1,2,4,8,919,1838,3676,7352
Now, list down the factors of 1141
:1,7,163,1141
Greatest Common Factor
We found the factors 7352,1141 . The biggest common factor number is the GCF number.
So the greatest common factor 7352,1141 is 1.
Lets's calculate LCM of 994,5432
2 | 994, 5432 |
7 | 497, 2716 |
71, 388 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 388 = 385672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385672
Therefore, the GCF of Fractions 7352/994,1141/5432 is 1/385672
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 994,5432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,5432) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(994,5432) x common factors =14 x 1 = 14
LCM(994,5432) = ( 994 × 5432 ) / 14
LCM(994,5432) = 5399408 / 14
LCM(994,5432) = 385672
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7352,1141?
The HCF of 7352,1141 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 7352/994, 1141/5432?
Answer: GCF of Numerators as per given numbers 7352/994, 1141/5432 is
GCF of Numerators i.e. for 7352,1141 is 1
LCM of denominators i.e. for 994,5432 is 385672.
Thus, GCF of Fractions is 1/385672.Finally, GCF of Fractions for 7352/994, 1141/5432 is 1/385672.