Use our free GCF of Fractions Calculator tool to compute the GCF of 1083/372, 3810/3312 i.e 3/102672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1083/372, 3810/3312.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1083/372,3810/3312
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 1083/372,3810/3312, numerators are 1083,3810
Denominators are 372,3312
The GCF of 1083,3810 is 3 .
LCM of 372,3312 is 102672.
The greatest common factor of 1083/372,3810/3312 = [GCF of 1083,3810]/[LCM of 372,3312]= 3/102672
Therefore, the GCF of 1083/372,3810/3312 is 3/102672.
To find the highest common factor of 1083,3810, we have to find the factors of both numbers and list the highest common factor.
The factors of 1083 are 1, 3, 19, 57, 361, 1083
The factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 1083,3810 is 3.
Lets's calculate GCF of 1083,3810
3 | 1083, 3810 |
361, 1270 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1083
:1,3,19,57,361,1083
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 1083,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 1083,3810 is 3.
Lets's calculate LCM of 372,3312
2 | 372, 3312 |
2 | 186, 1656 |
3 | 93, 828 |
31, 276 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 276 = 102672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/102672
Therefore, the GCF of Fractions 1083/372,3810/3312 is 3/102672
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 372,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,3312) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(372,3312) x common factors =12 x 1 = 12
LCM(372,3312) = ( 372 × 3312 ) / 12
LCM(372,3312) = 1232064 / 12
LCM(372,3312) = 102672
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1083,3810?
The HCF of 1083,3810 is 3
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 1083/372, 3810/3312?
Answer: GCF of Numerators as per given numbers 1083/372, 3810/3312 is
GCF of Numerators i.e. for 1083,3810 is 3
LCM of denominators i.e. for 372,3312 is 102672.
Thus, GCF of Fractions is 3/102672.Finally, GCF of Fractions for 1083/372, 3810/3312 is 3/102672.