GCF of 9522/431, 7259/4031
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9522/431, 7259/4031 i.e 1/1737361 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9522/431, 7259/4031.
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 9522/431,7259/4031?
Given fractions are 9522/431,7259/4031
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 9522/431,7259/4031, numerators are 9522,7259
Denominators are 431,4031
The GCF of 9522,7259 is 1 .
LCM of 431,4031 is 1737361.
The greatest common factor of 9522/431,7259/4031 = [GCF of 9522,7259]/[LCM of 431,4031]= 1/1737361
Therefore, the GCF of 9522/431,7259/4031 is 1/1737361.
To find the highest common factor of 9522,7259, we have to find the factors of both numbers and list the highest common factor.
The factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522
The factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259
The HCF of 9522,7259 is 1.
Lets's calculate GCF of 9522,7259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9522,7259 By Matching Biggest Common Factor Method
Now, list down the factors of 9522
:1,2,3,6,9,18,23,46,69,138,207,414,529,1058,1587,3174,4761,9522
Now, list down the factors of 7259
:1,7,17,61,119,427,1037,7259
Greatest Common Factor
We found the factors 9522,7259 . The biggest common factor number is the GCF number.
So the greatest common factor 9522,7259 is 1.
Lets's calculate LCM of 431,4031
Given numbers has no common factors except 1. So, there LCM is their product i.e 1737361
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1737361
Therefore, the GCF of Fractions 9522/431,7259/4031 is 1/1737361
Least Common Multiple of 431,4031 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 431,4031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,4031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,4031) x common factors =1 x 1 = 1
LCM(431,4031) = ( 431 × 4031 ) / 1
LCM(431,4031) = 1737361 / 1
LCM(431,4031) = 1737361
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FAQs on GCF of Fractions of 9522/431, 7259/4031
1. What is the HCF of 9522,7259?
The HCF of 9522,7259 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 9522/431, 7259/4031?
Answer: GCF of Numerators as per given numbers 9522/431, 7259/4031 is
GCF of Numerators i.e. for 9522,7259 is 1
LCM of denominators i.e. for 431,4031 is 1737361.
Thus, GCF of Fractions is 1/1737361.Finally, GCF of Fractions for 9522/431, 7259/4031 is 1/1737361.