Use our free GCF of Fractions Calculator tool to compute the GCF of 155/804, 517/440 i.e 1/88440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/804, 517/440.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/804,517/440
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 155/804,517/440, numerators are 155,517
Denominators are 804,440
The GCF of 155,517 is 1 .
LCM of 804,440 is 88440.
The greatest common factor of 155/804,517/440 = [GCF of 155,517]/[LCM of 804,440]= 1/88440
Therefore, the GCF of 155/804,517/440 is 1/88440.
To find the highest common factor of 155,517, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 517 are 1, 11, 47, 517
The HCF of 155,517 is 1.
Lets's calculate GCF of 155,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 517
:1,11,47,517
Greatest Common Factor
We found the factors 155,517 . The biggest common factor number is the GCF number.
So the greatest common factor 155,517 is 1.
Lets's calculate LCM of 804,440
2 | 804, 440 |
2 | 402, 220 |
201, 110 |
∴ So the LCM of the given numbers is 2 x 2 x 201 x 110 = 88440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88440
Therefore, the GCF of Fractions 155/804,517/440 is 1/88440
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 804,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,440) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(804,440) x common factors =4 x 1 = 4
LCM(804,440) = ( 804 × 440 ) / 4
LCM(804,440) = 353760 / 4
LCM(804,440) = 88440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,517?
The HCF of 155,517 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 155/804, 517/440?
Answer: GCF of Numerators as per given numbers 155/804, 517/440 is
GCF of Numerators i.e. for 155,517 is 1
LCM of denominators i.e. for 804,440 is 88440.
Thus, GCF of Fractions is 1/88440.Finally, GCF of Fractions for 155/804, 517/440 is 1/88440.