Use our free GCF of Fractions Calculator tool to compute the GCF of 1555/155, 7995/1883 i.e 5/291865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1555/155, 7995/1883.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1555/155,7995/1883
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 1555/155,7995/1883, numerators are 1555,7995
Denominators are 155,1883
The GCF of 1555,7995 is 5 .
LCM of 155,1883 is 291865.
The greatest common factor of 1555/155,7995/1883 = [GCF of 1555,7995]/[LCM of 155,1883]= 5/291865
Therefore, the GCF of 1555/155,7995/1883 is 5/291865.
To find the highest common factor of 1555,7995, we have to find the factors of both numbers and list the highest common factor.
The factors of 1555 are 1, 5, 311, 1555
The factors of 7995 are 1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995
The HCF of 1555,7995 is 5.
Lets's calculate GCF of 1555,7995
5 | 1555, 7995 |
311, 1599 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1555
:1,5,311,1555
Now, list down the factors of 7995
:1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995
Greatest Common Factor
We found the factors 1555,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 1555,7995 is 5.
Lets's calculate LCM of 155,1883
Given numbers has no common factors except 1. So, there LCM is their product i.e 291865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/291865
Therefore, the GCF of Fractions 1555/155,7995/1883 is 5/291865
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 155,1883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,1883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,1883) x common factors =1 x 1 = 1
LCM(155,1883) = ( 155 × 1883 ) / 1
LCM(155,1883) = 291865 / 1
LCM(155,1883) = 291865
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1555,7995?
The HCF of 1555,7995 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 1555/155, 7995/1883?
Answer: GCF of Numerators as per given numbers 1555/155, 7995/1883 is
GCF of Numerators i.e. for 1555,7995 is 5
LCM of denominators i.e. for 155,1883 is 291865.
Thus, GCF of Fractions is 5/291865.Finally, GCF of Fractions for 1555/155, 7995/1883 is 5/291865.