GCF of 7389/442, 3681/1843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7389/442, 3681/1843 i.e 9/814606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7389/442, 3681/1843.
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 7389/442,3681/1843?
Given fractions are 7389/442,3681/1843
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 7389/442,3681/1843, numerators are 7389,3681
Denominators are 442,1843
The GCF of 7389,3681 is 9 .
LCM of 442,1843 is 814606.
The greatest common factor of 7389/442,3681/1843 = [GCF of 7389,3681]/[LCM of 442,1843]= 9/814606
Therefore, the GCF of 7389/442,3681/1843 is 9/814606.
To find the highest common factor of 7389,3681, we have to find the factors of both numbers and list the highest common factor.
The factors of 7389 are 1, 3, 9, 821, 2463, 7389
The factors of 3681 are 1, 3, 9, 409, 1227, 3681
The HCF of 7389,3681 is 9.
Lets's calculate GCF of 7389,3681
| 3 | 7389, 3681 |
| 3 | 2463, 1227 |
| 821, 409 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7389,3681 By Matching Biggest Common Factor Method
Now, list down the factors of 7389
:1,3,9,821,2463,7389
Now, list down the factors of 3681
:1,3,9,409,1227,3681
Greatest Common Factor
We found the factors 7389,3681 . The biggest common factor number is the GCF number.
So the greatest common factor 7389,3681 is 9.
Lets's calculate LCM of 442,1843
Given numbers has no common factors except 1. So, there LCM is their product i.e 814606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/814606
Therefore, the GCF of Fractions 7389/442,3681/1843 is 9/814606
Least Common Multiple of 442,1843 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 442,1843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,1843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,1843) x common factors =1 x 1 = 1
LCM(442,1843) = ( 442 × 1843 ) / 1
LCM(442,1843) = 814606 / 1
LCM(442,1843) = 814606
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7389/442, 3681/1843
1. What is the HCF of 7389,3681?
The HCF of 7389,3681 is 9
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 7389/442, 3681/1843?
Answer: GCF of Numerators as per given numbers 7389/442, 3681/1843 is
GCF of Numerators i.e. for 7389,3681 is 9
LCM of denominators i.e. for 442,1843 is 814606.
Thus, GCF of Fractions is 9/814606.Finally, GCF of Fractions for 7389/442, 3681/1843 is 9/814606.