Use our free GCF of Fractions Calculator tool to compute the GCF of 8799/103, 1925/944 i.e 7/97232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8799/103, 1925/944.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8799/103,1925/944
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 8799/103,1925/944, numerators are 8799,1925
Denominators are 103,944
The GCF of 8799,1925 is 7 .
LCM of 103,944 is 97232.
The greatest common factor of 8799/103,1925/944 = [GCF of 8799,1925]/[LCM of 103,944]= 7/97232
Therefore, the GCF of 8799/103,1925/944 is 7/97232.
To find the highest common factor of 8799,1925, we have to find the factors of both numbers and list the highest common factor.
The factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799
The factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925
The HCF of 8799,1925 is 7.
Lets's calculate GCF of 8799,1925
7 | 8799, 1925 |
1257, 275 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 8799
:1,3,7,21,419,1257,2933,8799
Now, list down the factors of 1925
:1,5,7,11,25,35,55,77,175,275,385,1925
Greatest Common Factor
We found the factors 8799,1925 . The biggest common factor number is the GCF number.
So the greatest common factor 8799,1925 is 7.
Lets's calculate LCM of 103,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 97232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/97232
Therefore, the GCF of Fractions 8799/103,1925/944 is 7/97232
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 103,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,944) x common factors =1 x 1 = 1
LCM(103,944) = ( 103 × 944 ) / 1
LCM(103,944) = 97232 / 1
LCM(103,944) = 97232
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8799,1925?
The HCF of 8799,1925 is 7
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 8799/103, 1925/944?
Answer: GCF of Numerators as per given numbers 8799/103, 1925/944 is
GCF of Numerators i.e. for 8799,1925 is 7
LCM of denominators i.e. for 103,944 is 97232.
Thus, GCF of Fractions is 7/97232.Finally, GCF of Fractions for 8799/103, 1925/944 is 7/97232.