GCF of 5813/204, 2764/9783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5813/204, 2764/9783 i.e 1/665244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5813/204, 2764/9783.
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 5813/204,2764/9783?
Given fractions are 5813/204,2764/9783
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 5813/204,2764/9783, numerators are 5813,2764
Denominators are 204,9783
The GCF of 5813,2764 is 1 .
LCM of 204,9783 is 665244.
The greatest common factor of 5813/204,2764/9783 = [GCF of 5813,2764]/[LCM of 204,9783]= 1/665244
Therefore, the GCF of 5813/204,2764/9783 is 1/665244.
To find the highest common factor of 5813,2764, we have to find the factors of both numbers and list the highest common factor.
The factors of 5813 are 1, 5813
The factors of 2764 are 1, 2, 4, 691, 1382, 2764
The HCF of 5813,2764 is 1.
Lets's calculate GCF of 5813,2764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5813,2764 By Matching Biggest Common Factor Method
Now, list down the factors of 5813
:1,5813
Now, list down the factors of 2764
:1,2,4,691,1382,2764
Greatest Common Factor
We found the factors 5813,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 5813,2764 is 1.
Lets's calculate LCM of 204,9783
| 3 | 204, 9783 |
| 68, 3261 |
∴ So the LCM of the given numbers is 3 x 68 x 3261 = 665244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/665244
Therefore, the GCF of Fractions 5813/204,2764/9783 is 1/665244
Least Common Multiple of 204,9783 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 204,9783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,9783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,9783) x common factors =3 x 1 = 3
LCM(204,9783) = ( 204 × 9783 ) / 3
LCM(204,9783) = 1995732 / 3
LCM(204,9783) = 665244
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FAQs on GCF of Fractions of 5813/204, 2764/9783
1. What is the HCF of 5813,2764?
The HCF of 5813,2764 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 5813/204, 2764/9783?
Answer: GCF of Numerators as per given numbers 5813/204, 2764/9783 is
GCF of Numerators i.e. for 5813,2764 is 1
LCM of denominators i.e. for 204,9783 is 665244.
Thus, GCF of Fractions is 1/665244.Finally, GCF of Fractions for 5813/204, 2764/9783 is 1/665244.