Use our free GCF of Fractions Calculator tool to compute the GCF of 3050/174, 5221/2241 i.e 1/129978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3050/174, 5221/2241.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3050/174,5221/2241
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 3050/174,5221/2241, numerators are 3050,5221
Denominators are 174,2241
The GCF of 3050,5221 is 1 .
LCM of 174,2241 is 129978.
The greatest common factor of 3050/174,5221/2241 = [GCF of 3050,5221]/[LCM of 174,2241]= 1/129978
Therefore, the GCF of 3050/174,5221/2241 is 1/129978.
To find the highest common factor of 3050,5221, we have to find the factors of both numbers and list the highest common factor.
The factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050
The factors of 5221 are 1, 23, 227, 5221
The HCF of 3050,5221 is 1.
Lets's calculate GCF of 3050,5221
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3050
:1,2,5,10,25,50,61,122,305,610,1525,3050
Now, list down the factors of 5221
:1,23,227,5221
Greatest Common Factor
We found the factors 3050,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 3050,5221 is 1.
Lets's calculate LCM of 174,2241
3 | 174, 2241 |
58, 747 |
∴ So the LCM of the given numbers is 3 x 58 x 747 = 129978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129978
Therefore, the GCF of Fractions 3050/174,5221/2241 is 1/129978
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 174,2241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,2241) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,2241) x common factors =3 x 1 = 3
LCM(174,2241) = ( 174 × 2241 ) / 3
LCM(174,2241) = 389934 / 3
LCM(174,2241) = 129978
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3050,5221?
The HCF of 3050,5221 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 3050/174, 5221/2241?
Answer: GCF of Numerators as per given numbers 3050/174, 5221/2241 is
GCF of Numerators i.e. for 3050,5221 is 1
LCM of denominators i.e. for 174,2241 is 129978.
Thus, GCF of Fractions is 1/129978.Finally, GCF of Fractions for 3050/174, 5221/2241 is 1/129978.