GCF of 5151/561, 8703/9045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5151/561, 8703/9045 i.e 3/1691415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5151/561, 8703/9045.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5151/561,8703/9045?
Given fractions are 5151/561,8703/9045
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 5151/561,8703/9045, numerators are 5151,8703
Denominators are 561,9045
The GCF of 5151,8703 is 3 .
LCM of 561,9045 is 1691415.
The greatest common factor of 5151/561,8703/9045 = [GCF of 5151,8703]/[LCM of 561,9045]= 3/1691415
Therefore, the GCF of 5151/561,8703/9045 is 3/1691415.
To find the highest common factor of 5151,8703, we have to find the factors of both numbers and list the highest common factor.
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The factors of 8703 are 1, 3, 9, 967, 2901, 8703
The HCF of 5151,8703 is 3.
Lets's calculate GCF of 5151,8703
| 3 | 5151, 8703 |
| 1717, 2901 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5151,8703 By Matching Biggest Common Factor Method
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Now, list down the factors of 8703
:1,3,9,967,2901,8703
Greatest Common Factor
We found the factors 5151,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 5151,8703 is 3.
Lets's calculate LCM of 561,9045
| 3 | 561, 9045 |
| 187, 3015 |
∴ So the LCM of the given numbers is 3 x 187 x 3015 = 1691415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1691415
Therefore, the GCF of Fractions 5151/561,8703/9045 is 3/1691415
Least Common Multiple of 561,9045 with GCF Formula
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 561,9045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,9045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,9045) x common factors =3 x 1 = 3
LCM(561,9045) = ( 561 × 9045 ) / 3
LCM(561,9045) = 5074245 / 3
LCM(561,9045) = 1691415
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5151/561, 8703/9045
1. What is the HCF of 5151,8703?
The HCF of 5151,8703 is 3
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 5151/561, 8703/9045?
Answer: GCF of Numerators as per given numbers 5151/561, 8703/9045 is
GCF of Numerators i.e. for 5151,8703 is 3
LCM of denominators i.e. for 561,9045 is 1691415.
Thus, GCF of Fractions is 3/1691415.Finally, GCF of Fractions for 5151/561, 8703/9045 is 3/1691415.