Use our free GCF of Fractions Calculator tool to compute the GCF of 43/791, 54/659, 442/568 i.e 1/296080792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/791, 54/659, 442/568.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/791,54/659,442/568
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 43/791,54/659,442/568, numerators are 43,54,442
Denominators are 791,659,568
The GCF of 43,54,442 is 1 .
LCM of 791,659,568 is 296080792.
The greatest common factor of 43/791,54/659,442/568 = [GCF of 43,54,442]/[LCM of 791,659,568]= 1/296080792
Therefore, the GCF of 43/791,54/659,442/568 is 1/296080792.
To find the highest common factor of 43,54,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 43,54,442 is 1.
Lets's calculate GCF of 43,54,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 43,54,442 . The biggest common factor number is the GCF number.
So the greatest common factor 43,54,442 is 1.
Lets's calculate LCM of 791,659,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 296080792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296080792
Therefore, the GCF of Fractions 43/791,54/659,442/568 is 1/296080792
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 791,659,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,659,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,659,568) x common factors =1 x 1 = 1
LCM(791,659,568) = ( 791 × 659 × 568 ) / 1
LCM(791,659,568) = 296080792 / 1
LCM(791,659,568) = 296080792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,54,442?
The HCF of 43,54,442 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 43/791, 54/659, 442/568?
Answer: GCF of Numerators as per given numbers 43/791, 54/659, 442/568 is
GCF of Numerators i.e. for 43,54,442 is 1
LCM of denominators i.e. for 791,659,568 is 296080792.
Thus, GCF of Fractions is 1/296080792.Finally, GCF of Fractions for 43/791, 54/659, 442/568 is 1/296080792.