GCF of 8804/931, 5094/4886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8804/931, 5094/4886 i.e 2/649838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8804/931, 5094/4886.
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 8804/931,5094/4886?
Given fractions are 8804/931,5094/4886
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 8804/931,5094/4886, numerators are 8804,5094
Denominators are 931,4886
The GCF of 8804,5094 is 2 .
LCM of 931,4886 is 649838.
The greatest common factor of 8804/931,5094/4886 = [GCF of 8804,5094]/[LCM of 931,4886]= 2/649838
Therefore, the GCF of 8804/931,5094/4886 is 2/649838.
To find the highest common factor of 8804,5094, we have to find the factors of both numbers and list the highest common factor.
The factors of 8804 are 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804
The factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094
The HCF of 8804,5094 is 2.
Lets's calculate GCF of 8804,5094
| 2 | 8804, 5094 |
| 4402, 2547 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8804,5094 By Matching Biggest Common Factor Method
Now, list down the factors of 8804
:1,2,4,31,62,71,124,142,284,2201,4402,8804
Now, list down the factors of 5094
:1,2,3,6,9,18,283,566,849,1698,2547,5094
Greatest Common Factor
We found the factors 8804,5094 . The biggest common factor number is the GCF number.
So the greatest common factor 8804,5094 is 2.
Lets's calculate LCM of 931,4886
| 7 | 931, 4886 |
| 133, 698 |
∴ So the LCM of the given numbers is 7 x 133 x 698 = 649838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/649838
Therefore, the GCF of Fractions 8804/931,5094/4886 is 2/649838
Least Common Multiple of 931,4886 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 931,4886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,4886) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(931,4886) x common factors =7 x 1 = 7
LCM(931,4886) = ( 931 × 4886 ) / 7
LCM(931,4886) = 4548866 / 7
LCM(931,4886) = 649838
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FAQs on GCF of Fractions of 8804/931, 5094/4886
1. What is the HCF of 8804,5094?
The HCF of 8804,5094 is 2
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 8804/931, 5094/4886?
Answer: GCF of Numerators as per given numbers 8804/931, 5094/4886 is
GCF of Numerators i.e. for 8804,5094 is 2
LCM of denominators i.e. for 931,4886 is 649838.
Thus, GCF of Fractions is 2/649838.Finally, GCF of Fractions for 8804/931, 5094/4886 is 2/649838.