GCF of 5805/813, 6998/5145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5805/813, 6998/5145 i.e 1/1394295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5805/813, 6998/5145.
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 5805/813,6998/5145?
Given fractions are 5805/813,6998/5145
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 5805/813,6998/5145, numerators are 5805,6998
Denominators are 813,5145
The GCF of 5805,6998 is 1 .
LCM of 813,5145 is 1394295.
The greatest common factor of 5805/813,6998/5145 = [GCF of 5805,6998]/[LCM of 813,5145]= 1/1394295
Therefore, the GCF of 5805/813,6998/5145 is 1/1394295.
To find the highest common factor of 5805,6998, we have to find the factors of both numbers and list the highest common factor.
The factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
The factors of 6998 are 1, 2, 3499, 6998
The HCF of 5805,6998 is 1.
Lets's calculate GCF of 5805,6998
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5805,6998 By Matching Biggest Common Factor Method
Now, list down the factors of 5805
:1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Now, list down the factors of 6998
:1,2,3499,6998
Greatest Common Factor
We found the factors 5805,6998 . The biggest common factor number is the GCF number.
So the greatest common factor 5805,6998 is 1.
Lets's calculate LCM of 813,5145
| 3 | 813, 5145 |
| 271, 1715 |
∴ So the LCM of the given numbers is 3 x 271 x 1715 = 1394295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394295
Therefore, the GCF of Fractions 5805/813,6998/5145 is 1/1394295
Least Common Multiple of 813,5145 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 813,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,5145) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,5145) x common factors =3 x 1 = 3
LCM(813,5145) = ( 813 × 5145 ) / 3
LCM(813,5145) = 4182885 / 3
LCM(813,5145) = 1394295
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FAQs on GCF of Fractions of 5805/813, 6998/5145
1. What is the HCF of 5805,6998?
The HCF of 5805,6998 is 1
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 5805/813, 6998/5145?
Answer: GCF of Numerators as per given numbers 5805/813, 6998/5145 is
GCF of Numerators i.e. for 5805,6998 is 1
LCM of denominators i.e. for 813,5145 is 1394295.
Thus, GCF of Fractions is 1/1394295.Finally, GCF of Fractions for 5805/813, 6998/5145 is 1/1394295.