GCF of 1143/273, 1659/4734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1143/273, 1659/4734 i.e 3/430794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1143/273, 1659/4734.
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 1143/273,1659/4734?
Given fractions are 1143/273,1659/4734
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 1143/273,1659/4734, numerators are 1143,1659
Denominators are 273,4734
The GCF of 1143,1659 is 3 .
LCM of 273,4734 is 430794.
The greatest common factor of 1143/273,1659/4734 = [GCF of 1143,1659]/[LCM of 273,4734]= 3/430794
Therefore, the GCF of 1143/273,1659/4734 is 3/430794.
To find the highest common factor of 1143,1659, we have to find the factors of both numbers and list the highest common factor.
The factors of 1143 are 1, 3, 9, 127, 381, 1143
The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659
The HCF of 1143,1659 is 3.
Lets's calculate GCF of 1143,1659
| 3 | 1143, 1659 |
| 381, 553 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1143,1659 By Matching Biggest Common Factor Method
Now, list down the factors of 1143
:1,3,9,127,381,1143
Now, list down the factors of 1659
:1,3,7,21,79,237,553,1659
Greatest Common Factor
We found the factors 1143,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 1143,1659 is 3.
Lets's calculate LCM of 273,4734
| 3 | 273, 4734 |
| 91, 1578 |
∴ So the LCM of the given numbers is 3 x 91 x 1578 = 430794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/430794
Therefore, the GCF of Fractions 1143/273,1659/4734 is 3/430794
Least Common Multiple of 273,4734 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 273,4734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,4734) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,4734) x common factors =3 x 1 = 3
LCM(273,4734) = ( 273 × 4734 ) / 3
LCM(273,4734) = 1292382 / 3
LCM(273,4734) = 430794
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1143/273, 1659/4734
1. What is the HCF of 1143,1659?
The HCF of 1143,1659 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 1143/273, 1659/4734?
Answer: GCF of Numerators as per given numbers 1143/273, 1659/4734 is
GCF of Numerators i.e. for 1143,1659 is 3
LCM of denominators i.e. for 273,4734 is 430794.
Thus, GCF of Fractions is 3/430794.Finally, GCF of Fractions for 1143/273, 1659/4734 is 3/430794.