Use our free GCF of Fractions Calculator tool to compute the GCF of 2785/648, 1150/4051 i.e 5/2625048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2785/648, 1150/4051.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2785/648,1150/4051
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 2785/648,1150/4051, numerators are 2785,1150
Denominators are 648,4051
The GCF of 2785,1150 is 5 .
LCM of 648,4051 is 2625048.
The greatest common factor of 2785/648,1150/4051 = [GCF of 2785,1150]/[LCM of 648,4051]= 5/2625048
Therefore, the GCF of 2785/648,1150/4051 is 5/2625048.
To find the highest common factor of 2785,1150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2785 are 1, 5, 557, 2785
The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
The HCF of 2785,1150 is 5.
Lets's calculate GCF of 2785,1150
5 | 2785, 1150 |
557, 230 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 2785
:1,5,557,2785
Now, list down the factors of 1150
:1,2,5,10,23,25,46,50,115,230,575,1150
Greatest Common Factor
We found the factors 2785,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 2785,1150 is 5.
Lets's calculate LCM of 648,4051
Given numbers has no common factors except 1. So, there LCM is their product i.e 2625048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2625048
Therefore, the GCF of Fractions 2785/648,1150/4051 is 5/2625048
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 648,4051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,4051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,4051) x common factors =1 x 1 = 1
LCM(648,4051) = ( 648 × 4051 ) / 1
LCM(648,4051) = 2625048 / 1
LCM(648,4051) = 2625048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2785,1150?
The HCF of 2785,1150 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 2785/648, 1150/4051?
Answer: GCF of Numerators as per given numbers 2785/648, 1150/4051 is
GCF of Numerators i.e. for 2785,1150 is 5
LCM of denominators i.e. for 648,4051 is 2625048.
Thus, GCF of Fractions is 5/2625048.Finally, GCF of Fractions for 2785/648, 1150/4051 is 5/2625048.