Use our free GCF of Fractions Calculator tool to compute the GCF of 339/374, 549/253 i.e 3/8602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/374, 549/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/374,549/253
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 339/374,549/253, numerators are 339,549
Denominators are 374,253
The GCF of 339,549 is 3 .
LCM of 374,253 is 8602.
The greatest common factor of 339/374,549/253 = [GCF of 339,549]/[LCM of 374,253]= 3/8602
Therefore, the GCF of 339/374,549/253 is 3/8602.
To find the highest common factor of 339,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 339,549 is 3.
Lets's calculate GCF of 339,549
3 | 339, 549 |
113, 183 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 339,549 . The biggest common factor number is the GCF number.
So the greatest common factor 339,549 is 3.
Lets's calculate LCM of 374,253
11 | 374, 253 |
34, 23 |
∴ So the LCM of the given numbers is 11 x 34 x 23 = 8602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8602
Therefore, the GCF of Fractions 339/374,549/253 is 3/8602
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 374,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,253) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(374,253) x common factors =11 x 1 = 11
LCM(374,253) = ( 374 × 253 ) / 11
LCM(374,253) = 94622 / 11
LCM(374,253) = 8602
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 339,549?
The HCF of 339,549 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 339/374, 549/253?
Answer: GCF of Numerators as per given numbers 339/374, 549/253 is
GCF of Numerators i.e. for 339,549 is 3
LCM of denominators i.e. for 374,253 is 8602.
Thus, GCF of Fractions is 3/8602.Finally, GCF of Fractions for 339/374, 549/253 is 3/8602.