Use our free GCF of Fractions Calculator tool to compute the GCF of 14/353, 37/644, 510/583 i.e 1/132534556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/353, 37/644, 510/583.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/353,37/644,510/583
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 14/353,37/644,510/583, numerators are 14,37,510
Denominators are 353,644,583
The GCF of 14,37,510 is 1 .
LCM of 353,644,583 is 132534556.
The greatest common factor of 14/353,37/644,510/583 = [GCF of 14,37,510]/[LCM of 353,644,583]= 1/132534556
Therefore, the GCF of 14/353,37/644,510/583 is 1/132534556.
To find the highest common factor of 14,37,510, 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 37 are 1, 37
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 14,37,510 is 1.
Lets's calculate GCF of 14,37,510
∴ 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 37
:1,37
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 14,37,510 . The biggest common factor number is the GCF number.
So the greatest common factor 14,37,510 is 1.
Lets's calculate LCM of 353,644,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 132534556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132534556
Therefore, the GCF of Fractions 14/353,37/644,510/583 is 1/132534556
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 353,644,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,644,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,644,583) x common factors =1 x 1 = 1
LCM(353,644,583) = ( 353 × 644 × 583 ) / 1
LCM(353,644,583) = 132534556 / 1
LCM(353,644,583) = 132534556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,37,510?
The HCF of 14,37,510 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 14/353, 37/644, 510/583?
Answer: GCF of Numerators as per given numbers 14/353, 37/644, 510/583 is
GCF of Numerators i.e. for 14,37,510 is 1
LCM of denominators i.e. for 353,644,583 is 132534556.
Thus, GCF of Fractions is 1/132534556.Finally, GCF of Fractions for 14/353, 37/644, 510/583 is 1/132534556.