GCF of 8901/664, 7032/424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8901/664, 7032/424 i.e 3/35192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8901/664, 7032/424.
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 8901/664,7032/424?
Given fractions are 8901/664,7032/424
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 8901/664,7032/424, numerators are 8901,7032
Denominators are 664,424
The GCF of 8901,7032 is 3 .
LCM of 664,424 is 35192.
The greatest common factor of 8901/664,7032/424 = [GCF of 8901,7032]/[LCM of 664,424]= 3/35192
Therefore, the GCF of 8901/664,7032/424 is 3/35192.
To find the highest common factor of 8901,7032, we have to find the factors of both numbers and list the highest common factor.
The factors of 8901 are 1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901
The factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032
The HCF of 8901,7032 is 3.
Lets's calculate GCF of 8901,7032
| 3 | 8901, 7032 |
| 2967, 2344 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8901,7032 By Matching Biggest Common Factor Method
Now, list down the factors of 8901
:1,3,9,23,43,69,129,207,387,989,2967,8901
Now, list down the factors of 7032
:1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Greatest Common Factor
We found the factors 8901,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 8901,7032 is 3.
Lets's calculate LCM of 664,424
| 2 | 664, 424 |
| 2 | 332, 212 |
| 2 | 166, 106 |
| 83, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 53 = 35192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35192
Therefore, the GCF of Fractions 8901/664,7032/424 is 3/35192
Least Common Multiple of 664,424 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 664,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,424) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(664,424) x common factors =8 x 1 = 8
LCM(664,424) = ( 664 × 424 ) / 8
LCM(664,424) = 281536 / 8
LCM(664,424) = 35192
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FAQs on GCF of Fractions of 8901/664, 7032/424
1. What is the HCF of 8901,7032?
The HCF of 8901,7032 is 3
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 8901/664, 7032/424?
Answer: GCF of Numerators as per given numbers 8901/664, 7032/424 is
GCF of Numerators i.e. for 8901,7032 is 3
LCM of denominators i.e. for 664,424 is 35192.
Thus, GCF of Fractions is 3/35192.Finally, GCF of Fractions for 8901/664, 7032/424 is 3/35192.