Use our free GCF of Fractions Calculator tool to compute the GCF of 9771/884, 8752/7251 i.e 1/6409884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9771/884, 8752/7251.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9771/884,8752/7251
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 9771/884,8752/7251, numerators are 9771,8752
Denominators are 884,7251
The GCF of 9771,8752 is 1 .
LCM of 884,7251 is 6409884.
The greatest common factor of 9771/884,8752/7251 = [GCF of 9771,8752]/[LCM of 884,7251]= 1/6409884
Therefore, the GCF of 9771/884,8752/7251 is 1/6409884.
To find the highest common factor of 9771,8752, we have to find the factors of both numbers and list the highest common factor.
The factors of 9771 are 1, 3, 3257, 9771
The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752
The HCF of 9771,8752 is 1.
Lets's calculate GCF of 9771,8752
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9771
:1,3,3257,9771
Now, list down the factors of 8752
:1,2,4,8,16,547,1094,2188,4376,8752
Greatest Common Factor
We found the factors 9771,8752 . The biggest common factor number is the GCF number.
So the greatest common factor 9771,8752 is 1.
Lets's calculate LCM of 884,7251
Given numbers has no common factors except 1. So, there LCM is their product i.e 6409884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6409884
Therefore, the GCF of Fractions 9771/884,8752/7251 is 1/6409884
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 884,7251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,7251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,7251) x common factors =1 x 1 = 1
LCM(884,7251) = ( 884 × 7251 ) / 1
LCM(884,7251) = 6409884 / 1
LCM(884,7251) = 6409884
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9771,8752?
The HCF of 9771,8752 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 9771/884, 8752/7251?
Answer: GCF of Numerators as per given numbers 9771/884, 8752/7251 is
GCF of Numerators i.e. for 9771,8752 is 1
LCM of denominators i.e. for 884,7251 is 6409884.
Thus, GCF of Fractions is 1/6409884.Finally, GCF of Fractions for 9771/884, 8752/7251 is 1/6409884.