GCF of 9173/581, 9741/4177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9173/581, 9741/4177 i.e 1/2426837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9173/581, 9741/4177.
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 9173/581,9741/4177?
Given fractions are 9173/581,9741/4177
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 9173/581,9741/4177, numerators are 9173,9741
Denominators are 581,4177
The GCF of 9173,9741 is 1 .
LCM of 581,4177 is 2426837.
The greatest common factor of 9173/581,9741/4177 = [GCF of 9173,9741]/[LCM of 581,4177]= 1/2426837
Therefore, the GCF of 9173/581,9741/4177 is 1/2426837.
To find the highest common factor of 9173,9741, 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 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741
The HCF of 9173,9741 is 1.
Lets's calculate GCF of 9173,9741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9173,9741 By Matching Biggest Common Factor Method
Now, list down the factors of 9173
:1,9173
Now, list down the factors of 9741
:1,3,17,51,191,573,3247,9741
Greatest Common Factor
We found the factors 9173,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 9173,9741 is 1.
Lets's calculate LCM of 581,4177
Given numbers has no common factors except 1. So, there LCM is their product i.e 2426837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2426837
Therefore, the GCF of Fractions 9173/581,9741/4177 is 1/2426837
Least Common Multiple of 581,4177 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 581,4177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,4177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,4177) x common factors =1 x 1 = 1
LCM(581,4177) = ( 581 × 4177 ) / 1
LCM(581,4177) = 2426837 / 1
LCM(581,4177) = 2426837
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FAQs on GCF of Fractions of 9173/581, 9741/4177
1. What is the HCF of 9173,9741?
The HCF of 9173,9741 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 9173/581, 9741/4177?
Answer: GCF of Numerators as per given numbers 9173/581, 9741/4177 is
GCF of Numerators i.e. for 9173,9741 is 1
LCM of denominators i.e. for 581,4177 is 2426837.
Thus, GCF of Fractions is 1/2426837.Finally, GCF of Fractions for 9173/581, 9741/4177 is 1/2426837.