Use our free GCF of Fractions Calculator tool to compute the GCF of 14/25, 40/999, 259/664 i.e 1/16583400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/25, 40/999, 259/664.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/25,40/999,259/664
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 14/25,40/999,259/664, numerators are 14,40,259
Denominators are 25,999,664
The GCF of 14,40,259 is 1 .
LCM of 25,999,664 is 16583400.
The greatest common factor of 14/25,40/999,259/664 = [GCF of 14,40,259]/[LCM of 25,999,664]= 1/16583400
Therefore, the GCF of 14/25,40/999,259/664 is 1/16583400.
To find the highest common factor of 14,40,259, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 259 are 1, 7, 37, 259
The HCF of 14,40,259 is 1.
Lets's calculate GCF of 14,40,259
∴ 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 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 14,40,259 . The biggest common factor number is the GCF number.
So the greatest common factor 14,40,259 is 1.
Lets's calculate LCM of 25,999,664
Given numbers has no common factors except 1. So, there LCM is their product i.e 16583400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16583400
Therefore, the GCF of Fractions 14/25,40/999,259/664 is 1/16583400
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 25,999,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,999,664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,999,664) x common factors =1 x 1 = 1
LCM(25,999,664) = ( 25 × 999 × 664 ) / 1
LCM(25,999,664) = 16583400 / 1
LCM(25,999,664) = 16583400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,40,259?
The HCF of 14,40,259 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 14/25, 40/999, 259/664?
Answer: GCF of Numerators as per given numbers 14/25, 40/999, 259/664 is
GCF of Numerators i.e. for 14,40,259 is 1
LCM of denominators i.e. for 25,999,664 is 16583400.
Thus, GCF of Fractions is 1/16583400.Finally, GCF of Fractions for 14/25, 40/999, 259/664 is 1/16583400.