GCF of 8133/538, 9664/7574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8133/538, 9664/7574 i.e 1/2037406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8133/538, 9664/7574.
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 8133/538,9664/7574?
Given fractions are 8133/538,9664/7574
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 8133/538,9664/7574, numerators are 8133,9664
Denominators are 538,7574
The GCF of 8133,9664 is 1 .
LCM of 538,7574 is 2037406.
The greatest common factor of 8133/538,9664/7574 = [GCF of 8133,9664]/[LCM of 538,7574]= 1/2037406
Therefore, the GCF of 8133/538,9664/7574 is 1/2037406.
To find the highest common factor of 8133,9664, we have to find the factors of both numbers and list the highest common factor.
The factors of 8133 are 1, 3, 2711, 8133
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The HCF of 8133,9664 is 1.
Lets's calculate GCF of 8133,9664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8133,9664 By Matching Biggest Common Factor Method
Now, list down the factors of 8133
:1,3,2711,8133
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 8133,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 8133,9664 is 1.
Lets's calculate LCM of 538,7574
| 2 | 538, 7574 |
| 269, 3787 |
∴ So the LCM of the given numbers is 2 x 269 x 3787 = 2037406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2037406
Therefore, the GCF of Fractions 8133/538,9664/7574 is 1/2037406
Least Common Multiple of 538,7574 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 538,7574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,7574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,7574) x common factors =2 x 1 = 2
LCM(538,7574) = ( 538 × 7574 ) / 2
LCM(538,7574) = 4074812 / 2
LCM(538,7574) = 2037406
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FAQs on GCF of Fractions of 8133/538, 9664/7574
1. What is the HCF of 8133,9664?
The HCF of 8133,9664 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 8133/538, 9664/7574?
Answer: GCF of Numerators as per given numbers 8133/538, 9664/7574 is
GCF of Numerators i.e. for 8133,9664 is 1
LCM of denominators i.e. for 538,7574 is 2037406.
Thus, GCF of Fractions is 1/2037406.Finally, GCF of Fractions for 8133/538, 9664/7574 is 1/2037406.