Use our free GCF of Fractions Calculator tool to compute the GCF of 1057/117, 6447/3463 i.e 7/405171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1057/117, 6447/3463.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1057/117,6447/3463
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 1057/117,6447/3463, numerators are 1057,6447
Denominators are 117,3463
The GCF of 1057,6447 is 7 .
LCM of 117,3463 is 405171.
The greatest common factor of 1057/117,6447/3463 = [GCF of 1057,6447]/[LCM of 117,3463]= 7/405171
Therefore, the GCF of 1057/117,6447/3463 is 7/405171.
To find the highest common factor of 1057,6447, we have to find the factors of both numbers and list the highest common factor.
The factors of 1057 are 1, 7, 151, 1057
The factors of 6447 are 1, 3, 7, 21, 307, 921, 2149, 6447
The HCF of 1057,6447 is 7.
Lets's calculate GCF of 1057,6447
7 | 1057, 6447 |
151, 921 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 1057
:1,7,151,1057
Now, list down the factors of 6447
:1,3,7,21,307,921,2149,6447
Greatest Common Factor
We found the factors 1057,6447 . The biggest common factor number is the GCF number.
So the greatest common factor 1057,6447 is 7.
Lets's calculate LCM of 117,3463
Given numbers has no common factors except 1. So, there LCM is their product i.e 405171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/405171
Therefore, the GCF of Fractions 1057/117,6447/3463 is 7/405171
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 117,3463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,3463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,3463) x common factors =1 x 1 = 1
LCM(117,3463) = ( 117 × 3463 ) / 1
LCM(117,3463) = 405171 / 1
LCM(117,3463) = 405171
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1057,6447?
The HCF of 1057,6447 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 1057/117, 6447/3463?
Answer: GCF of Numerators as per given numbers 1057/117, 6447/3463 is
GCF of Numerators i.e. for 1057,6447 is 7
LCM of denominators i.e. for 117,3463 is 405171.
Thus, GCF of Fractions is 7/405171.Finally, GCF of Fractions for 1057/117, 6447/3463 is 7/405171.