Use our free GCF of Fractions Calculator tool to compute the GCF of 7129/433, 9493/6968 i.e 1/3017144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7129/433, 9493/6968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7129/433,9493/6968
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 7129/433,9493/6968, numerators are 7129,9493
Denominators are 433,6968
The GCF of 7129,9493 is 1 .
LCM of 433,6968 is 3017144.
The greatest common factor of 7129/433,9493/6968 = [GCF of 7129,9493]/[LCM of 433,6968]= 1/3017144
Therefore, the GCF of 7129/433,9493/6968 is 1/3017144.
To find the highest common factor of 7129,9493, we have to find the factors of both numbers and list the highest common factor.
The factors of 7129 are 1, 7129
The factors of 9493 are 1, 11, 863, 9493
The HCF of 7129,9493 is 1.
Lets's calculate GCF of 7129,9493
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7129
:1,7129
Now, list down the factors of 9493
:1,11,863,9493
Greatest Common Factor
We found the factors 7129,9493 . The biggest common factor number is the GCF number.
So the greatest common factor 7129,9493 is 1.
Lets's calculate LCM of 433,6968
Given numbers has no common factors except 1. So, there LCM is their product i.e 3017144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3017144
Therefore, the GCF of Fractions 7129/433,9493/6968 is 1/3017144
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 433,6968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,6968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,6968) x common factors =1 x 1 = 1
LCM(433,6968) = ( 433 × 6968 ) / 1
LCM(433,6968) = 3017144 / 1
LCM(433,6968) = 3017144
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7129,9493?
The HCF of 7129,9493 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 7129/433, 9493/6968?
Answer: GCF of Numerators as per given numbers 7129/433, 9493/6968 is
GCF of Numerators i.e. for 7129,9493 is 1
LCM of denominators i.e. for 433,6968 is 3017144.
Thus, GCF of Fractions is 1/3017144.Finally, GCF of Fractions for 7129/433, 9493/6968 is 1/3017144.