Use our free GCF of Fractions Calculator tool to compute the GCF of 14/28, 563/41, 327/475 i.e 1/545300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/28, 563/41, 327/475.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/28,563/41,327/475
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 14/28,563/41,327/475, numerators are 14,563,327
Denominators are 28,41,475
The GCF of 14,563,327 is 1 .
LCM of 28,41,475 is 545300.
The greatest common factor of 14/28,563/41,327/475 = [GCF of 14,563,327]/[LCM of 28,41,475]= 1/545300
Therefore, the GCF of 14/28,563/41,327/475 is 1/545300.
To find the highest common factor of 14,563,327, 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 563 are 1, 563
The factors of 327 are 1, 3, 109, 327
The HCF of 14,563,327 is 1.
Lets's calculate GCF of 14,563,327
∴ 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 563
:1,563
Now, list down the factors of 327
:1,3,109,327
Greatest Common Factor
We found the factors 14,563,327 . The biggest common factor number is the GCF number.
So the greatest common factor 14,563,327 is 1.
Lets's calculate LCM of 28,41,475
Given numbers has no common factors except 1. So, there LCM is their product i.e 545300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545300
Therefore, the GCF of Fractions 14/28,563/41,327/475 is 1/545300
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 28,41,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,41,475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,41,475) x common factors =1 x 1 = 1
LCM(28,41,475) = ( 28 × 41 × 475 ) / 1
LCM(28,41,475) = 545300 / 1
LCM(28,41,475) = 545300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,563,327?
The HCF of 14,563,327 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 14/28, 563/41, 327/475?
Answer: GCF of Numerators as per given numbers 14/28, 563/41, 327/475 is
GCF of Numerators i.e. for 14,563,327 is 1
LCM of denominators i.e. for 28,41,475 is 545300.
Thus, GCF of Fractions is 1/545300.Finally, GCF of Fractions for 14/28, 563/41, 327/475 is 1/545300.