GCF of 9532/912, 8991/8761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9532/912, 8991/8761 i.e 1/7990032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9532/912, 8991/8761.
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 9532/912,8991/8761?
Given fractions are 9532/912,8991/8761
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 9532/912,8991/8761, numerators are 9532,8991
Denominators are 912,8761
The GCF of 9532,8991 is 1 .
LCM of 912,8761 is 7990032.
The greatest common factor of 9532/912,8991/8761 = [GCF of 9532,8991]/[LCM of 912,8761]= 1/7990032
Therefore, the GCF of 9532/912,8991/8761 is 1/7990032.
To find the highest common factor of 9532,8991, we have to find the factors of both numbers and list the highest common factor.
The factors of 9532 are 1, 2, 4, 2383, 4766, 9532
The factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991
The HCF of 9532,8991 is 1.
Lets's calculate GCF of 9532,8991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9532,8991 By Matching Biggest Common Factor Method
Now, list down the factors of 9532
:1,2,4,2383,4766,9532
Now, list down the factors of 8991
:1,3,9,27,37,81,111,243,333,999,2997,8991
Greatest Common Factor
We found the factors 9532,8991 . The biggest common factor number is the GCF number.
So the greatest common factor 9532,8991 is 1.
Lets's calculate LCM of 912,8761
Given numbers has no common factors except 1. So, there LCM is their product i.e 7990032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7990032
Therefore, the GCF of Fractions 9532/912,8991/8761 is 1/7990032
Least Common Multiple of 912,8761 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 912,8761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,8761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,8761) x common factors =1 x 1 = 1
LCM(912,8761) = ( 912 × 8761 ) / 1
LCM(912,8761) = 7990032 / 1
LCM(912,8761) = 7990032
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FAQs on GCF of Fractions of 9532/912, 8991/8761
1. What is the HCF of 9532,8991?
The HCF of 9532,8991 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 9532/912, 8991/8761?
Answer: GCF of Numerators as per given numbers 9532/912, 8991/8761 is
GCF of Numerators i.e. for 9532,8991 is 1
LCM of denominators i.e. for 912,8761 is 7990032.
Thus, GCF of Fractions is 1/7990032.Finally, GCF of Fractions for 9532/912, 8991/8761 is 1/7990032.