Use our free GCF of Fractions Calculator tool to compute the GCF of 6755/799, 9171/5344 i.e 1/4269856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6755/799, 9171/5344.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6755/799,9171/5344
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 6755/799,9171/5344, numerators are 6755,9171
Denominators are 799,5344
The GCF of 6755,9171 is 1 .
LCM of 799,5344 is 4269856.
The greatest common factor of 6755/799,9171/5344 = [GCF of 6755,9171]/[LCM of 799,5344]= 1/4269856
Therefore, the GCF of 6755/799,9171/5344 is 1/4269856.
To find the highest common factor of 6755,9171, we have to find the factors of both numbers and list the highest common factor.
The factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755
The factors of 9171 are 1, 3, 9, 1019, 3057, 9171
The HCF of 6755,9171 is 1.
Lets's calculate GCF of 6755,9171
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6755
:1,5,7,35,193,965,1351,6755
Now, list down the factors of 9171
:1,3,9,1019,3057,9171
Greatest Common Factor
We found the factors 6755,9171 . The biggest common factor number is the GCF number.
So the greatest common factor 6755,9171 is 1.
Lets's calculate LCM of 799,5344
Given numbers has no common factors except 1. So, there LCM is their product i.e 4269856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4269856
Therefore, the GCF of Fractions 6755/799,9171/5344 is 1/4269856
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 799,5344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,5344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,5344) x common factors =1 x 1 = 1
LCM(799,5344) = ( 799 × 5344 ) / 1
LCM(799,5344) = 4269856 / 1
LCM(799,5344) = 4269856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6755,9171?
The HCF of 6755,9171 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 6755/799, 9171/5344?
Answer: GCF of Numerators as per given numbers 6755/799, 9171/5344 is
GCF of Numerators i.e. for 6755,9171 is 1
LCM of denominators i.e. for 799,5344 is 4269856.
Thus, GCF of Fractions is 1/4269856.Finally, GCF of Fractions for 6755/799, 9171/5344 is 1/4269856.