Use our free GCF of Fractions Calculator tool to compute the GCF of 3942/741, 1752/6210 i.e 438/1533870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3942/741, 1752/6210.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3942/741,1752/6210
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 3942/741,1752/6210, numerators are 3942,1752
Denominators are 741,6210
The GCF of 3942,1752 is 438 .
LCM of 741,6210 is 1533870.
The greatest common factor of 3942/741,1752/6210 = [GCF of 3942,1752]/[LCM of 741,6210]= 438/1533870
Therefore, the GCF of 3942/741,1752/6210 is 438/1533870.
To find the highest common factor of 3942,1752, we have to find the factors of both numbers and list the highest common factor.
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942
The factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752
The HCF of 3942,1752 is 438.
Lets's calculate GCF of 3942,1752
2 | 3942, 1752 |
3 | 1971, 876 |
73 | 657, 292 |
9, 4 |
∴ So the GCF of the given numbers is 2 x 3 x 73 = 438
Now, list down the factors of 3942
:1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Now, list down the factors of 1752
:1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752
Greatest Common Factor
We found the factors 3942,1752 . The biggest common factor number is the GCF number.
So the greatest common factor 3942,1752 is 438.
Lets's calculate LCM of 741,6210
3 | 741, 6210 |
247, 2070 |
∴ So the LCM of the given numbers is 3 x 247 x 2070 = 1533870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 438/1533870
Therefore, the GCF of Fractions 3942/741,1752/6210 is 438/1533870
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 741,6210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,6210) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,6210) x common factors =3 x 1 = 3
LCM(741,6210) = ( 741 × 6210 ) / 3
LCM(741,6210) = 4601610 / 3
LCM(741,6210) = 1533870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3942,1752?
The HCF of 3942,1752 is 438
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 3942/741, 1752/6210?
Answer: GCF of Numerators as per given numbers 3942/741, 1752/6210 is
GCF of Numerators i.e. for 3942,1752 is 438
LCM of denominators i.e. for 741,6210 is 1533870.
Thus, GCF of Fractions is 438/1533870.Finally, GCF of Fractions for 3942/741, 1752/6210 is 438/1533870.