Use our free GCF of Fractions Calculator tool to compute the GCF of 503/319, 960/348 i.e 1/3828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/319, 960/348.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 503/319,960/348
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 503/319,960/348, numerators are 503,960
Denominators are 319,348
The GCF of 503,960 is 1 .
LCM of 319,348 is 3828.
The greatest common factor of 503/319,960/348 = [GCF of 503,960]/[LCM of 319,348]= 1/3828
Therefore, the GCF of 503/319,960/348 is 1/3828.
To find the highest common factor of 503,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 503 are 1, 503
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 503,960 is 1.
Lets's calculate GCF of 503,960
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 503
:1,503
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 503,960 . The biggest common factor number is the GCF number.
So the greatest common factor 503,960 is 1.
Lets's calculate LCM of 319,348
29 | 319, 348 |
11, 12 |
∴ So the LCM of the given numbers is 29 x 11 x 12 = 3828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3828
Therefore, the GCF of Fractions 503/319,960/348 is 1/3828
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 319,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,348) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(319,348) x common factors =29 x 1 = 29
LCM(319,348) = ( 319 × 348 ) / 29
LCM(319,348) = 111012 / 29
LCM(319,348) = 3828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 503,960?
The HCF of 503,960 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 503/319, 960/348?
Answer: GCF of Numerators as per given numbers 503/319, 960/348 is
GCF of Numerators i.e. for 503,960 is 1
LCM of denominators i.e. for 319,348 is 3828.
Thus, GCF of Fractions is 1/3828.Finally, GCF of Fractions for 503/319, 960/348 is 1/3828.