Use our free GCF of Fractions Calculator tool to compute the GCF of 549/548, 244/396 i.e 61/54252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 549/548, 244/396.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/548,244/396
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 549/548,244/396, numerators are 549,244
Denominators are 548,396
The GCF of 549,244 is 61 .
LCM of 548,396 is 54252.
The greatest common factor of 549/548,244/396 = [GCF of 549,244]/[LCM of 548,396]= 61/54252
Therefore, the GCF of 549/548,244/396 is 61/54252.
To find the highest common factor of 549,244, we have to find the factors of both numbers and list the highest common factor.
The factors of 549 are 1, 3, 9, 61, 183, 549
The factors of 244 are 1, 2, 4, 61, 122, 244
The HCF of 549,244 is 61.
Lets's calculate GCF of 549,244
61 | 549, 244 |
9, 4 |
∴ So the GCF of the given numbers is 61 = 61
Now, list down the factors of 549
:1,3,9,61,183,549
Now, list down the factors of 244
:1,2,4,61,122,244
Greatest Common Factor
We found the factors 549,244 . The biggest common factor number is the GCF number.
So the greatest common factor 549,244 is 61.
Lets's calculate LCM of 548,396
2 | 548, 396 |
2 | 274, 198 |
137, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 99 = 54252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/54252
Therefore, the GCF of Fractions 549/548,244/396 is 61/54252
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 548,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,396) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,396) x common factors =4 x 1 = 4
LCM(548,396) = ( 548 × 396 ) / 4
LCM(548,396) = 217008 / 4
LCM(548,396) = 54252
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 549,244?
The HCF of 549,244 is 61
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 549/548, 244/396?
Answer: GCF of Numerators as per given numbers 549/548, 244/396 is
GCF of Numerators i.e. for 549,244 is 61
LCM of denominators i.e. for 548,396 is 54252.
Thus, GCF of Fractions is 61/54252.Finally, GCF of Fractions for 549/548, 244/396 is 61/54252.