GCF of 9801/595, 2732/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9801/595, 2732/128 i.e 1/76160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9801/595, 2732/128.
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 9801/595,2732/128?
Given fractions are 9801/595,2732/128
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 9801/595,2732/128, numerators are 9801,2732
Denominators are 595,128
The GCF of 9801,2732 is 1 .
LCM of 595,128 is 76160.
The greatest common factor of 9801/595,2732/128 = [GCF of 9801,2732]/[LCM of 595,128]= 1/76160
Therefore, the GCF of 9801/595,2732/128 is 1/76160.
To find the highest common factor of 9801,2732, we have to find the factors of both numbers and list the highest common factor.
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The factors of 2732 are 1, 2, 4, 683, 1366, 2732
The HCF of 9801,2732 is 1.
Lets's calculate GCF of 9801,2732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9801,2732 By Matching Biggest Common Factor Method
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Now, list down the factors of 2732
:1,2,4,683,1366,2732
Greatest Common Factor
We found the factors 9801,2732 . The biggest common factor number is the GCF number.
So the greatest common factor 9801,2732 is 1.
Lets's calculate LCM of 595,128
Given numbers has no common factors except 1. So, there LCM is their product i.e 76160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76160
Therefore, the GCF of Fractions 9801/595,2732/128 is 1/76160
Least Common Multiple of 595,128 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 595,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,128) x common factors =1 x 1 = 1
LCM(595,128) = ( 595 × 128 ) / 1
LCM(595,128) = 76160 / 1
LCM(595,128) = 76160
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FAQs on GCF of Fractions of 9801/595, 2732/128
1. What is the HCF of 9801,2732?
The HCF of 9801,2732 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 9801/595, 2732/128?
Answer: GCF of Numerators as per given numbers 9801/595, 2732/128 is
GCF of Numerators i.e. for 9801,2732 is 1
LCM of denominators i.e. for 595,128 is 76160.
Thus, GCF of Fractions is 1/76160.Finally, GCF of Fractions for 9801/595, 2732/128 is 1/76160.