Use our free GCF of Fractions Calculator tool to compute the GCF of 291/571, 474/121 i.e 3/69091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/571, 474/121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/571,474/121
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 291/571,474/121, numerators are 291,474
Denominators are 571,121
The GCF of 291,474 is 3 .
LCM of 571,121 is 69091.
The greatest common factor of 291/571,474/121 = [GCF of 291,474]/[LCM of 571,121]= 3/69091
Therefore, the GCF of 291/571,474/121 is 3/69091.
To find the highest common factor of 291,474, 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 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 291,474 is 3.
Lets's calculate GCF of 291,474
3 | 291, 474 |
97, 158 |
∴ 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 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 291,474 . The biggest common factor number is the GCF number.
So the greatest common factor 291,474 is 3.
Lets's calculate LCM of 571,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 69091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69091
Therefore, the GCF of Fractions 291/571,474/121 is 3/69091
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 571,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,121) x common factors =1 x 1 = 1
LCM(571,121) = ( 571 × 121 ) / 1
LCM(571,121) = 69091 / 1
LCM(571,121) = 69091
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 291,474?
The HCF of 291,474 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 291/571, 474/121?
Answer: GCF of Numerators as per given numbers 291/571, 474/121 is
GCF of Numerators i.e. for 291,474 is 3
LCM of denominators i.e. for 571,121 is 69091.
Thus, GCF of Fractions is 3/69091.Finally, GCF of Fractions for 291/571, 474/121 is 3/69091.