GCF of 9337/161, 8704/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9337/161, 8704/135 i.e 1/21735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9337/161, 8704/135.
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 9337/161,8704/135?
Given fractions are 9337/161,8704/135
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 9337/161,8704/135, numerators are 9337,8704
Denominators are 161,135
The GCF of 9337,8704 is 1 .
LCM of 161,135 is 21735.
The greatest common factor of 9337/161,8704/135 = [GCF of 9337,8704]/[LCM of 161,135]= 1/21735
Therefore, the GCF of 9337/161,8704/135 is 1/21735.
To find the highest common factor of 9337,8704, we have to find the factors of both numbers and list the highest common factor.
The factors of 9337 are 1, 9337
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The HCF of 9337,8704 is 1.
Lets's calculate GCF of 9337,8704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9337,8704 By Matching Biggest Common Factor Method
Now, list down the factors of 9337
:1,9337
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Greatest Common Factor
We found the factors 9337,8704 . The biggest common factor number is the GCF number.
So the greatest common factor 9337,8704 is 1.
Lets's calculate LCM of 161,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 21735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21735
Therefore, the GCF of Fractions 9337/161,8704/135 is 1/21735
Least Common Multiple of 161,135 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 161,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,135) x common factors =1 x 1 = 1
LCM(161,135) = ( 161 × 135 ) / 1
LCM(161,135) = 21735 / 1
LCM(161,135) = 21735
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FAQs on GCF of Fractions of 9337/161, 8704/135
1. What is the HCF of 9337,8704?
The HCF of 9337,8704 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 9337/161, 8704/135?
Answer: GCF of Numerators as per given numbers 9337/161, 8704/135 is
GCF of Numerators i.e. for 9337,8704 is 1
LCM of denominators i.e. for 161,135 is 21735.
Thus, GCF of Fractions is 1/21735.Finally, GCF of Fractions for 9337/161, 8704/135 is 1/21735.