Use our free GCF of Fractions Calculator tool to compute the GCF of 96/81, 58/167, 571/350 i.e 1/4734450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/81, 58/167, 571/350.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/81,58/167,571/350
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 96/81,58/167,571/350, numerators are 96,58,571
Denominators are 81,167,350
The GCF of 96,58,571 is 1 .
LCM of 81,167,350 is 4734450.
The greatest common factor of 96/81,58/167,571/350 = [GCF of 96,58,571]/[LCM of 81,167,350]= 1/4734450
Therefore, the GCF of 96/81,58/167,571/350 is 1/4734450.
To find the highest common factor of 96,58,571, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 58 are 1, 2, 29, 58
The factors of 571 are 1, 571
The HCF of 96,58,571 is 1.
Lets's calculate GCF of 96,58,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 571
:1,571
Greatest Common Factor
We found the factors 96,58,571 . The biggest common factor number is the GCF number.
So the greatest common factor 96,58,571 is 1.
Lets's calculate LCM of 81,167,350
Given numbers has no common factors except 1. So, there LCM is their product i.e 4734450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4734450
Therefore, the GCF of Fractions 96/81,58/167,571/350 is 1/4734450
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 81,167,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,167,350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,167,350) x common factors =1 x 1 = 1
LCM(81,167,350) = ( 81 × 167 × 350 ) / 1
LCM(81,167,350) = 4734450 / 1
LCM(81,167,350) = 4734450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,58,571?
The HCF of 96,58,571 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 96/81, 58/167, 571/350?
Answer: GCF of Numerators as per given numbers 96/81, 58/167, 571/350 is
GCF of Numerators i.e. for 96,58,571 is 1
LCM of denominators i.e. for 81,167,350 is 4734450.
Thus, GCF of Fractions is 1/4734450.Finally, GCF of Fractions for 96/81, 58/167, 571/350 is 1/4734450.