GCF of 8382/811, 4565/5828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8382/811, 4565/5828 i.e 11/4726508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8382/811, 4565/5828.
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 8382/811,4565/5828?
Given fractions are 8382/811,4565/5828
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 8382/811,4565/5828, numerators are 8382,4565
Denominators are 811,5828
The GCF of 8382,4565 is 11 .
LCM of 811,5828 is 4726508.
The greatest common factor of 8382/811,4565/5828 = [GCF of 8382,4565]/[LCM of 811,5828]= 11/4726508
Therefore, the GCF of 8382/811,4565/5828 is 11/4726508.
To find the highest common factor of 8382,4565, we have to find the factors of both numbers and list the highest common factor.
The factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382
The factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565
The HCF of 8382,4565 is 11.
Lets's calculate GCF of 8382,4565
| 11 | 8382, 4565 |
| 762, 415 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8382,4565 By Matching Biggest Common Factor Method
Now, list down the factors of 8382
:1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382
Now, list down the factors of 4565
:1,5,11,55,83,415,913,4565
Greatest Common Factor
We found the factors 8382,4565 . The biggest common factor number is the GCF number.
So the greatest common factor 8382,4565 is 11.
Lets's calculate LCM of 811,5828
Given numbers has no common factors except 1. So, there LCM is their product i.e 4726508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4726508
Therefore, the GCF of Fractions 8382/811,4565/5828 is 11/4726508
Least Common Multiple of 811,5828 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 811,5828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,5828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,5828) x common factors =1 x 1 = 1
LCM(811,5828) = ( 811 × 5828 ) / 1
LCM(811,5828) = 4726508 / 1
LCM(811,5828) = 4726508
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8382/811, 4565/5828
1. What is the HCF of 8382,4565?
The HCF of 8382,4565 is 11
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 8382/811, 4565/5828?
Answer: GCF of Numerators as per given numbers 8382/811, 4565/5828 is
GCF of Numerators i.e. for 8382,4565 is 11
LCM of denominators i.e. for 811,5828 is 4726508.
Thus, GCF of Fractions is 11/4726508.Finally, GCF of Fractions for 8382/811, 4565/5828 is 11/4726508.