Use our free GCF of Fractions Calculator tool to compute the GCF of 14/557, 69/801, 848/434 i.e 1/193632138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/557, 69/801, 848/434.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/557,69/801,848/434
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 14/557,69/801,848/434, numerators are 14,69,848
Denominators are 557,801,434
The GCF of 14,69,848 is 1 .
LCM of 557,801,434 is 193632138.
The greatest common factor of 14/557,69/801,848/434 = [GCF of 14,69,848]/[LCM of 557,801,434]= 1/193632138
Therefore, the GCF of 14/557,69/801,848/434 is 1/193632138.
To find the highest common factor of 14,69,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 69 are 1, 3, 23, 69
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 14,69,848 is 1.
Lets's calculate GCF of 14,69,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 14,69,848 . The biggest common factor number is the GCF number.
So the greatest common factor 14,69,848 is 1.
Lets's calculate LCM of 557,801,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 193632138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193632138
Therefore, the GCF of Fractions 14/557,69/801,848/434 is 1/193632138
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 557,801,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,801,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,801,434) x common factors =1 x 1 = 1
LCM(557,801,434) = ( 557 × 801 × 434 ) / 1
LCM(557,801,434) = 193632138 / 1
LCM(557,801,434) = 193632138
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,69,848?
The HCF of 14,69,848 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 14/557, 69/801, 848/434?
Answer: GCF of Numerators as per given numbers 14/557, 69/801, 848/434 is
GCF of Numerators i.e. for 14,69,848 is 1
LCM of denominators i.e. for 557,801,434 is 193632138.
Thus, GCF of Fractions is 1/193632138.Finally, GCF of Fractions for 14/557, 69/801, 848/434 is 1/193632138.