GCF of 9591/544, 7984/5867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9591/544, 7984/5867 i.e 1/3191648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9591/544, 7984/5867.
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 9591/544,7984/5867?
Given fractions are 9591/544,7984/5867
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 9591/544,7984/5867, numerators are 9591,7984
Denominators are 544,5867
The GCF of 9591,7984 is 1 .
LCM of 544,5867 is 3191648.
The greatest common factor of 9591/544,7984/5867 = [GCF of 9591,7984]/[LCM of 544,5867]= 1/3191648
Therefore, the GCF of 9591/544,7984/5867 is 1/3191648.
To find the highest common factor of 9591,7984, we have to find the factors of both numbers and list the highest common factor.
The factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591
The factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984
The HCF of 9591,7984 is 1.
Lets's calculate GCF of 9591,7984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9591,7984 By Matching Biggest Common Factor Method
Now, list down the factors of 9591
:1,3,23,69,139,417,3197,9591
Now, list down the factors of 7984
:1,2,4,8,16,499,998,1996,3992,7984
Greatest Common Factor
We found the factors 9591,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 9591,7984 is 1.
Lets's calculate LCM of 544,5867
Given numbers has no common factors except 1. So, there LCM is their product i.e 3191648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3191648
Therefore, the GCF of Fractions 9591/544,7984/5867 is 1/3191648
Least Common Multiple of 544,5867 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 544,5867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,5867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(544,5867) x common factors =1 x 1 = 1
LCM(544,5867) = ( 544 × 5867 ) / 1
LCM(544,5867) = 3191648 / 1
LCM(544,5867) = 3191648
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FAQs on GCF of Fractions of 9591/544, 7984/5867
1. What is the HCF of 9591,7984?
The HCF of 9591,7984 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 9591/544, 7984/5867?
Answer: GCF of Numerators as per given numbers 9591/544, 7984/5867 is
GCF of Numerators i.e. for 9591,7984 is 1
LCM of denominators i.e. for 544,5867 is 3191648.
Thus, GCF of Fractions is 1/3191648.Finally, GCF of Fractions for 9591/544, 7984/5867 is 1/3191648.