Use our free GCF of Fractions Calculator tool to compute the GCF of 1045/624, 4445/1305 i.e 5/271440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1045/624, 4445/1305.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1045/624,4445/1305
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 1045/624,4445/1305, numerators are 1045,4445
Denominators are 624,1305
The GCF of 1045,4445 is 5 .
LCM of 624,1305 is 271440.
The greatest common factor of 1045/624,4445/1305 = [GCF of 1045,4445]/[LCM of 624,1305]= 5/271440
Therefore, the GCF of 1045/624,4445/1305 is 5/271440.
To find the highest common factor of 1045,4445, we have to find the factors of both numbers and list the highest common factor.
The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045
The factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445
The HCF of 1045,4445 is 5.
Lets's calculate GCF of 1045,4445
5 | 1045, 4445 |
209, 889 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1045
:1,5,11,19,55,95,209,1045
Now, list down the factors of 4445
:1,5,7,35,127,635,889,4445
Greatest Common Factor
We found the factors 1045,4445 . The biggest common factor number is the GCF number.
So the greatest common factor 1045,4445 is 5.
Lets's calculate LCM of 624,1305
3 | 624, 1305 |
208, 435 |
∴ So the LCM of the given numbers is 3 x 208 x 435 = 271440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/271440
Therefore, the GCF of Fractions 1045/624,4445/1305 is 5/271440
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 624,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,1305) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(624,1305) x common factors =3 x 1 = 3
LCM(624,1305) = ( 624 × 1305 ) / 3
LCM(624,1305) = 814320 / 3
LCM(624,1305) = 271440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1045,4445?
The HCF of 1045,4445 is 5
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 1045/624, 4445/1305?
Answer: GCF of Numerators as per given numbers 1045/624, 4445/1305 is
GCF of Numerators i.e. for 1045,4445 is 5
LCM of denominators i.e. for 624,1305 is 271440.
Thus, GCF of Fractions is 5/271440.Finally, GCF of Fractions for 1045/624, 4445/1305 is 5/271440.