Use our free GCF of Fractions Calculator tool to compute the GCF of 14/849, 290/493, 939/581 i.e 1/243181617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/849, 290/493, 939/581.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/849,290/493,939/581
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 14/849,290/493,939/581, numerators are 14,290,939
Denominators are 849,493,581
The GCF of 14,290,939 is 1 .
LCM of 849,493,581 is 243181617.
The greatest common factor of 14/849,290/493,939/581 = [GCF of 14,290,939]/[LCM of 849,493,581]= 1/243181617
Therefore, the GCF of 14/849,290/493,939/581 is 1/243181617.
To find the highest common factor of 14,290,939, 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 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 939 are 1, 3, 313, 939
The HCF of 14,290,939 is 1.
Lets's calculate GCF of 14,290,939
∴ 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 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 939
:1,3,313,939
Greatest Common Factor
We found the factors 14,290,939 . The biggest common factor number is the GCF number.
So the greatest common factor 14,290,939 is 1.
Lets's calculate LCM of 849,493,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 243181617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243181617
Therefore, the GCF of Fractions 14/849,290/493,939/581 is 1/243181617
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 849,493,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,493,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,493,581) x common factors =1 x 1 = 1
LCM(849,493,581) = ( 849 × 493 × 581 ) / 1
LCM(849,493,581) = 243181617 / 1
LCM(849,493,581) = 243181617
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,290,939?
The HCF of 14,290,939 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 14/849, 290/493, 939/581?
Answer: GCF of Numerators as per given numbers 14/849, 290/493, 939/581 is
GCF of Numerators i.e. for 14,290,939 is 1
LCM of denominators i.e. for 849,493,581 is 243181617.
Thus, GCF of Fractions is 1/243181617.Finally, GCF of Fractions for 14/849, 290/493, 939/581 is 1/243181617.