GCF of 8043/382, 5852/2882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8043/382, 5852/2882 i.e 7/550462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8043/382, 5852/2882.
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 8043/382,5852/2882?
Given fractions are 8043/382,5852/2882
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 8043/382,5852/2882, numerators are 8043,5852
Denominators are 382,2882
The GCF of 8043,5852 is 7 .
LCM of 382,2882 is 550462.
The greatest common factor of 8043/382,5852/2882 = [GCF of 8043,5852]/[LCM of 382,2882]= 7/550462
Therefore, the GCF of 8043/382,5852/2882 is 7/550462.
To find the highest common factor of 8043,5852, we have to find the factors of both numbers and list the highest common factor.
The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043
The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852
The HCF of 8043,5852 is 7.
Lets's calculate GCF of 8043,5852
| 7 | 8043, 5852 |
| 1149, 836 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8043,5852 By Matching Biggest Common Factor Method
Now, list down the factors of 8043
:1,3,7,21,383,1149,2681,8043
Now, list down the factors of 5852
:1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852
Greatest Common Factor
We found the factors 8043,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 8043,5852 is 7.
Lets's calculate LCM of 382,2882
| 2 | 382, 2882 |
| 191, 1441 |
∴ So the LCM of the given numbers is 2 x 191 x 1441 = 550462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/550462
Therefore, the GCF of Fractions 8043/382,5852/2882 is 7/550462
Least Common Multiple of 382,2882 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 382,2882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,2882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,2882) x common factors =2 x 1 = 2
LCM(382,2882) = ( 382 × 2882 ) / 2
LCM(382,2882) = 1100924 / 2
LCM(382,2882) = 550462
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FAQs on GCF of Fractions of 8043/382, 5852/2882
1. What is the HCF of 8043,5852?
The HCF of 8043,5852 is 7
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 8043/382, 5852/2882?
Answer: GCF of Numerators as per given numbers 8043/382, 5852/2882 is
GCF of Numerators i.e. for 8043,5852 is 7
LCM of denominators i.e. for 382,2882 is 550462.
Thus, GCF of Fractions is 7/550462.Finally, GCF of Fractions for 8043/382, 5852/2882 is 7/550462.