GCF of 5886/452, 6806/4836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5886/452, 6806/4836 i.e 2/546468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5886/452, 6806/4836.
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 5886/452,6806/4836?
Given fractions are 5886/452,6806/4836
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 5886/452,6806/4836, numerators are 5886,6806
Denominators are 452,4836
The GCF of 5886,6806 is 2 .
LCM of 452,4836 is 546468.
The greatest common factor of 5886/452,6806/4836 = [GCF of 5886,6806]/[LCM of 452,4836]= 2/546468
Therefore, the GCF of 5886/452,6806/4836 is 2/546468.
To find the highest common factor of 5886,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 5886,6806 is 2.
Lets's calculate GCF of 5886,6806
| 2 | 5886, 6806 |
| 2943, 3403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5886,6806 By Matching Biggest Common Factor Method
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 5886,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 5886,6806 is 2.
Lets's calculate LCM of 452,4836
| 2 | 452, 4836 |
| 2 | 226, 2418 |
| 113, 1209 |
∴ So the LCM of the given numbers is 2 x 2 x 113 x 1209 = 546468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/546468
Therefore, the GCF of Fractions 5886/452,6806/4836 is 2/546468
Least Common Multiple of 452,4836 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 452,4836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,4836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(452,4836) x common factors =4 x 1 = 4
LCM(452,4836) = ( 452 × 4836 ) / 4
LCM(452,4836) = 2185872 / 4
LCM(452,4836) = 546468
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FAQs on GCF of Fractions of 5886/452, 6806/4836
1. What is the HCF of 5886,6806?
The HCF of 5886,6806 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 5886/452, 6806/4836?
Answer: GCF of Numerators as per given numbers 5886/452, 6806/4836 is
GCF of Numerators i.e. for 5886,6806 is 2
LCM of denominators i.e. for 452,4836 is 546468.
Thus, GCF of Fractions is 2/546468.Finally, GCF of Fractions for 5886/452, 6806/4836 is 2/546468.