Use our free GCF of Fractions Calculator tool to compute the GCF of 5555/206, 1734/4350 i.e 1/448050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5555/206, 1734/4350.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5555/206,1734/4350
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 5555/206,1734/4350, numerators are 5555,1734
Denominators are 206,4350
The GCF of 5555,1734 is 1 .
LCM of 206,4350 is 448050.
The greatest common factor of 5555/206,1734/4350 = [GCF of 5555,1734]/[LCM of 206,4350]= 1/448050
Therefore, the GCF of 5555/206,1734/4350 is 1/448050.
To find the highest common factor of 5555,1734, we have to find the factors of both numbers and list the highest common factor.
The factors of 5555 are 1, 5, 11, 55, 101, 505, 1111, 5555
The factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734
The HCF of 5555,1734 is 1.
Lets's calculate GCF of 5555,1734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5555
:1,5,11,55,101,505,1111,5555
Now, list down the factors of 1734
:1,2,3,6,17,34,51,102,289,578,867,1734
Greatest Common Factor
We found the factors 5555,1734 . The biggest common factor number is the GCF number.
So the greatest common factor 5555,1734 is 1.
Lets's calculate LCM of 206,4350
2 | 206, 4350 |
103, 2175 |
∴ So the LCM of the given numbers is 2 x 103 x 2175 = 448050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448050
Therefore, the GCF of Fractions 5555/206,1734/4350 is 1/448050
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 206,4350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,4350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,4350) x common factors =2 x 1 = 2
LCM(206,4350) = ( 206 × 4350 ) / 2
LCM(206,4350) = 896100 / 2
LCM(206,4350) = 448050
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5555,1734?
The HCF of 5555,1734 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 5555/206, 1734/4350?
Answer: GCF of Numerators as per given numbers 5555/206, 1734/4350 is
GCF of Numerators i.e. for 5555,1734 is 1
LCM of denominators i.e. for 206,4350 is 448050.
Thus, GCF of Fractions is 1/448050.Finally, GCF of Fractions for 5555/206, 1734/4350 is 1/448050.