GCF of 7309/423, 1845/3232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7309/423, 1845/3232 i.e 1/1367136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7309/423, 1845/3232.
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 7309/423,1845/3232?
Given fractions are 7309/423,1845/3232
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 7309/423,1845/3232, numerators are 7309,1845
Denominators are 423,3232
The GCF of 7309,1845 is 1 .
LCM of 423,3232 is 1367136.
The greatest common factor of 7309/423,1845/3232 = [GCF of 7309,1845]/[LCM of 423,3232]= 1/1367136
Therefore, the GCF of 7309/423,1845/3232 is 1/1367136.
To find the highest common factor of 7309,1845, we have to find the factors of both numbers and list the highest common factor.
The factors of 7309 are 1, 7309
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The HCF of 7309,1845 is 1.
Lets's calculate GCF of 7309,1845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7309,1845 By Matching Biggest Common Factor Method
Now, list down the factors of 7309
:1,7309
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 7309,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 7309,1845 is 1.
Lets's calculate LCM of 423,3232
Given numbers has no common factors except 1. So, there LCM is their product i.e 1367136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1367136
Therefore, the GCF of Fractions 7309/423,1845/3232 is 1/1367136
Least Common Multiple of 423,3232 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 423,3232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,3232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,3232) x common factors =1 x 1 = 1
LCM(423,3232) = ( 423 × 3232 ) / 1
LCM(423,3232) = 1367136 / 1
LCM(423,3232) = 1367136
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FAQs on GCF of Fractions of 7309/423, 1845/3232
1. What is the HCF of 7309,1845?
The HCF of 7309,1845 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 7309/423, 1845/3232?
Answer: GCF of Numerators as per given numbers 7309/423, 1845/3232 is
GCF of Numerators i.e. for 7309,1845 is 1
LCM of denominators i.e. for 423,3232 is 1367136.
Thus, GCF of Fractions is 1/1367136.Finally, GCF of Fractions for 7309/423, 1845/3232 is 1/1367136.