GCF of 1341/543, 2048/9546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1341/543, 2048/9546 i.e 1/1727826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1341/543, 2048/9546.
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 1341/543,2048/9546?
Given fractions are 1341/543,2048/9546
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 1341/543,2048/9546, numerators are 1341,2048
Denominators are 543,9546
The GCF of 1341,2048 is 1 .
LCM of 543,9546 is 1727826.
The greatest common factor of 1341/543,2048/9546 = [GCF of 1341,2048]/[LCM of 543,9546]= 1/1727826
Therefore, the GCF of 1341/543,2048/9546 is 1/1727826.
To find the highest common factor of 1341,2048, we have to find the factors of both numbers and list the highest common factor.
The factors of 1341 are 1, 3, 9, 149, 447, 1341
The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
The HCF of 1341,2048 is 1.
Lets's calculate GCF of 1341,2048
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1341,2048 By Matching Biggest Common Factor Method
Now, list down the factors of 1341
:1,3,9,149,447,1341
Now, list down the factors of 2048
:1,2,4,8,16,32,64,128,256,512,1024,2048
Greatest Common Factor
We found the factors 1341,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 1341,2048 is 1.
Lets's calculate LCM of 543,9546
| 3 | 543, 9546 |
| 181, 3182 |
∴ So the LCM of the given numbers is 3 x 181 x 3182 = 1727826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1727826
Therefore, the GCF of Fractions 1341/543,2048/9546 is 1/1727826
Least Common Multiple of 543,9546 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 543,9546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,9546) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,9546) x common factors =3 x 1 = 3
LCM(543,9546) = ( 543 × 9546 ) / 3
LCM(543,9546) = 5183478 / 3
LCM(543,9546) = 1727826
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1341/543, 2048/9546
1. What is the HCF of 1341,2048?
The HCF of 1341,2048 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 1341/543, 2048/9546?
Answer: GCF of Numerators as per given numbers 1341/543, 2048/9546 is
GCF of Numerators i.e. for 1341,2048 is 1
LCM of denominators i.e. for 543,9546 is 1727826.
Thus, GCF of Fractions is 1/1727826.Finally, GCF of Fractions for 1341/543, 2048/9546 is 1/1727826.