Use our free GCF of Fractions Calculator tool to compute the GCF of 14/789, 64/199, 407/267 i.e 1/13973979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/789, 64/199, 407/267.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/789,64/199,407/267
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 14/789,64/199,407/267, numerators are 14,64,407
Denominators are 789,199,267
The GCF of 14,64,407 is 1 .
LCM of 789,199,267 is 13973979.
The greatest common factor of 14/789,64/199,407/267 = [GCF of 14,64,407]/[LCM of 789,199,267]= 1/13973979
Therefore, the GCF of 14/789,64/199,407/267 is 1/13973979.
To find the highest common factor of 14,64,407, 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 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 407 are 1, 11, 37, 407
The HCF of 14,64,407 is 1.
Lets's calculate GCF of 14,64,407
∴ 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 64
:1,2,4,8,16,32,64
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 14,64,407 . The biggest common factor number is the GCF number.
So the greatest common factor 14,64,407 is 1.
Lets's calculate LCM of 789,199,267
3 | 789, 199, 267 |
263, 199, 89 |
∴ So the LCM of the given numbers is 3 x 263 x 199 x 89 = 13973979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13973979
Therefore, the GCF of Fractions 14/789,64/199,407/267 is 1/13973979
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 789,199,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,199,267) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(789,199,267) x common factors =1 x 3 = 3
LCM(789,199,267) = ( 789 × 199 × 267 ) / 3
LCM(789,199,267) = 41921937 / 3
LCM(789,199,267) = 13973979
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,64,407?
The HCF of 14,64,407 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 14/789, 64/199, 407/267?
Answer: GCF of Numerators as per given numbers 14/789, 64/199, 407/267 is
GCF of Numerators i.e. for 14,64,407 is 1
LCM of denominators i.e. for 789,199,267 is 13973979.
Thus, GCF of Fractions is 1/13973979.Finally, GCF of Fractions for 14/789, 64/199, 407/267 is 1/13973979.