Use our free GCF of Fractions Calculator tool to compute the GCF of 942/401, 741/309 i.e 3/123909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/401, 741/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 942/401,741/309
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 942/401,741/309, numerators are 942,741
Denominators are 401,309
The GCF of 942,741 is 3 .
LCM of 401,309 is 123909.
The greatest common factor of 942/401,741/309 = [GCF of 942,741]/[LCM of 401,309]= 3/123909
Therefore, the GCF of 942/401,741/309 is 3/123909.
To find the highest common factor of 942,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 942,741 is 3.
Lets's calculate GCF of 942,741
3 | 942, 741 |
314, 247 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 942,741 . The biggest common factor number is the GCF number.
So the greatest common factor 942,741 is 3.
Lets's calculate LCM of 401,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 123909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/123909
Therefore, the GCF of Fractions 942/401,741/309 is 3/123909
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 401,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,309) x common factors =1 x 1 = 1
LCM(401,309) = ( 401 × 309 ) / 1
LCM(401,309) = 123909 / 1
LCM(401,309) = 123909
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 942,741?
The HCF of 942,741 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 942/401, 741/309?
Answer: GCF of Numerators as per given numbers 942/401, 741/309 is
GCF of Numerators i.e. for 942,741 is 3
LCM of denominators i.e. for 401,309 is 123909.
Thus, GCF of Fractions is 3/123909.Finally, GCF of Fractions for 942/401, 741/309 is 3/123909.