GCF of 8976/384, 4455/7466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8976/384, 4455/7466 i.e 33/1433472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8976/384, 4455/7466.
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 8976/384,4455/7466?
Given fractions are 8976/384,4455/7466
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 8976/384,4455/7466, numerators are 8976,4455
Denominators are 384,7466
The GCF of 8976,4455 is 33 .
LCM of 384,7466 is 1433472.
The greatest common factor of 8976/384,4455/7466 = [GCF of 8976,4455]/[LCM of 384,7466]= 33/1433472
Therefore, the GCF of 8976/384,4455/7466 is 33/1433472.
To find the highest common factor of 8976,4455, we have to find the factors of both numbers and list the highest common factor.
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The factors of 4455 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485, 4455
The HCF of 8976,4455 is 33.
Lets's calculate GCF of 8976,4455
| 3 | 8976, 4455 |
| 11 | 2992, 1485 |
| 272, 135 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8976,4455 By Matching Biggest Common Factor Method
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Now, list down the factors of 4455
:1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455
Greatest Common Factor
We found the factors 8976,4455 . The biggest common factor number is the GCF number.
So the greatest common factor 8976,4455 is 33.
Lets's calculate LCM of 384,7466
| 2 | 384, 7466 |
| 192, 3733 |
∴ So the LCM of the given numbers is 2 x 192 x 3733 = 1433472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1433472
Therefore, the GCF of Fractions 8976/384,4455/7466 is 33/1433472
Least Common Multiple of 384,7466 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 384,7466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,7466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,7466) x common factors =2 x 1 = 2
LCM(384,7466) = ( 384 × 7466 ) / 2
LCM(384,7466) = 2866944 / 2
LCM(384,7466) = 1433472
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FAQs on GCF of Fractions of 8976/384, 4455/7466
1. What is the HCF of 8976,4455?
The HCF of 8976,4455 is 33
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 8976/384, 4455/7466?
Answer: GCF of Numerators as per given numbers 8976/384, 4455/7466 is
GCF of Numerators i.e. for 8976,4455 is 33
LCM of denominators i.e. for 384,7466 is 1433472.
Thus, GCF of Fractions is 33/1433472.Finally, GCF of Fractions for 8976/384, 4455/7466 is 33/1433472.