Use our free GCF of Fractions Calculator tool to compute the GCF of 291/825, 471/176 i.e 3/13200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/825, 471/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/825,471/176
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 291/825,471/176, numerators are 291,471
Denominators are 825,176
The GCF of 291,471 is 3 .
LCM of 825,176 is 13200.
The greatest common factor of 291/825,471/176 = [GCF of 291,471]/[LCM of 825,176]= 3/13200
Therefore, the GCF of 291/825,471/176 is 3/13200.
To find the highest common factor of 291,471, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 471 are 1, 3, 157, 471
The HCF of 291,471 is 3.
Lets's calculate GCF of 291,471
3 | 291, 471 |
97, 157 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 471
:1,3,157,471
Greatest Common Factor
We found the factors 291,471 . The biggest common factor number is the GCF number.
So the greatest common factor 291,471 is 3.
Lets's calculate LCM of 825,176
11 | 825, 176 |
75, 16 |
∴ So the LCM of the given numbers is 11 x 75 x 16 = 13200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13200
Therefore, the GCF of Fractions 291/825,471/176 is 3/13200
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 825,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,176) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,176) x common factors =11 x 1 = 11
LCM(825,176) = ( 825 × 176 ) / 11
LCM(825,176) = 145200 / 11
LCM(825,176) = 13200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 291,471?
The HCF of 291,471 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 291/825, 471/176?
Answer: GCF of Numerators as per given numbers 291/825, 471/176 is
GCF of Numerators i.e. for 291,471 is 3
LCM of denominators i.e. for 825,176 is 13200.
Thus, GCF of Fractions is 3/13200.Finally, GCF of Fractions for 291/825, 471/176 is 3/13200.