GCF of 9173/359, 6675/4413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9173/359, 6675/4413 i.e 1/1584267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9173/359, 6675/4413.
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 9173/359,6675/4413?
Given fractions are 9173/359,6675/4413
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 9173/359,6675/4413, numerators are 9173,6675
Denominators are 359,4413
The GCF of 9173,6675 is 1 .
LCM of 359,4413 is 1584267.
The greatest common factor of 9173/359,6675/4413 = [GCF of 9173,6675]/[LCM of 359,4413]= 1/1584267
Therefore, the GCF of 9173/359,6675/4413 is 1/1584267.
To find the highest common factor of 9173,6675, we have to find the factors of both numbers and list the highest common factor.
The factors of 9173 are 1, 9173
The factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675
The HCF of 9173,6675 is 1.
Lets's calculate GCF of 9173,6675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9173,6675 By Matching Biggest Common Factor Method
Now, list down the factors of 9173
:1,9173
Now, list down the factors of 6675
:1,3,5,15,25,75,89,267,445,1335,2225,6675
Greatest Common Factor
We found the factors 9173,6675 . The biggest common factor number is the GCF number.
So the greatest common factor 9173,6675 is 1.
Lets's calculate LCM of 359,4413
Given numbers has no common factors except 1. So, there LCM is their product i.e 1584267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584267
Therefore, the GCF of Fractions 9173/359,6675/4413 is 1/1584267
Least Common Multiple of 359,4413 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 359,4413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,4413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,4413) x common factors =1 x 1 = 1
LCM(359,4413) = ( 359 × 4413 ) / 1
LCM(359,4413) = 1584267 / 1
LCM(359,4413) = 1584267
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FAQs on GCF of Fractions of 9173/359, 6675/4413
1. What is the HCF of 9173,6675?
The HCF of 9173,6675 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 9173/359, 6675/4413?
Answer: GCF of Numerators as per given numbers 9173/359, 6675/4413 is
GCF of Numerators i.e. for 9173,6675 is 1
LCM of denominators i.e. for 359,4413 is 1584267.
Thus, GCF of Fractions is 1/1584267.Finally, GCF of Fractions for 9173/359, 6675/4413 is 1/1584267.