Use our free GCF of Fractions Calculator tool to compute the GCF of 741/279, 7017/2831 i.e 3/789849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/279, 7017/2831.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/279,7017/2831
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 741/279,7017/2831, numerators are 741,7017
Denominators are 279,2831
The GCF of 741,7017 is 3 .
LCM of 279,2831 is 789849.
The greatest common factor of 741/279,7017/2831 = [GCF of 741,7017]/[LCM of 279,2831]= 3/789849
Therefore, the GCF of 741/279,7017/2831 is 3/789849.
To find the highest common factor of 741,7017, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 7017 are 1, 3, 2339, 7017
The HCF of 741,7017 is 3.
Lets's calculate GCF of 741,7017
3 | 741, 7017 |
247, 2339 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 7017
:1,3,2339,7017
Greatest Common Factor
We found the factors 741,7017 . The biggest common factor number is the GCF number.
So the greatest common factor 741,7017 is 3.
Lets's calculate LCM of 279,2831
Given numbers has no common factors except 1. So, there LCM is their product i.e 789849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/789849
Therefore, the GCF of Fractions 741/279,7017/2831 is 3/789849
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 279,2831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,2831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,2831) x common factors =1 x 1 = 1
LCM(279,2831) = ( 279 × 2831 ) / 1
LCM(279,2831) = 789849 / 1
LCM(279,2831) = 789849
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 741,7017?
The HCF of 741,7017 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 741/279, 7017/2831?
Answer: GCF of Numerators as per given numbers 741/279, 7017/2831 is
GCF of Numerators i.e. for 741,7017 is 3
LCM of denominators i.e. for 279,2831 is 789849.
Thus, GCF of Fractions is 3/789849.Finally, GCF of Fractions for 741/279, 7017/2831 is 3/789849.