Use our free GCF of Fractions Calculator tool to compute the GCF of 544/377, 208/601 i.e 16/226577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/377, 208/601.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/377,208/601
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 544/377,208/601, numerators are 544,208
Denominators are 377,601
The GCF of 544,208 is 16 .
LCM of 377,601 is 226577.
The greatest common factor of 544/377,208/601 = [GCF of 544,208]/[LCM of 377,601]= 16/226577
Therefore, the GCF of 544/377,208/601 is 16/226577.
To find the highest common factor of 544,208, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The HCF of 544,208 is 16.
Lets's calculate GCF of 544,208
2 | 544, 208 |
2 | 272, 104 |
2 | 136, 52 |
2 | 68, 26 |
34, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 544,208 . The biggest common factor number is the GCF number.
So the greatest common factor 544,208 is 16.
Lets's calculate LCM of 377,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 226577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/226577
Therefore, the GCF of Fractions 544/377,208/601 is 16/226577
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 377,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,601) x common factors =1 x 1 = 1
LCM(377,601) = ( 377 × 601 ) / 1
LCM(377,601) = 226577 / 1
LCM(377,601) = 226577
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 544,208?
The HCF of 544,208 is 16
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 544/377, 208/601?
Answer: GCF of Numerators as per given numbers 544/377, 208/601 is
GCF of Numerators i.e. for 544,208 is 16
LCM of denominators i.e. for 377,601 is 226577.
Thus, GCF of Fractions is 16/226577.Finally, GCF of Fractions for 544/377, 208/601 is 16/226577.