GCF of 1823/327, 6806/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1823/327, 6806/516 i.e 1/56244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1823/327, 6806/516.
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 1823/327,6806/516?
Given fractions are 1823/327,6806/516
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 1823/327,6806/516, numerators are 1823,6806
Denominators are 327,516
The GCF of 1823,6806 is 1 .
LCM of 327,516 is 56244.
The greatest common factor of 1823/327,6806/516 = [GCF of 1823,6806]/[LCM of 327,516]= 1/56244
Therefore, the GCF of 1823/327,6806/516 is 1/56244.
To find the highest common factor of 1823,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 1823 are 1, 1823
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 1823,6806 is 1.
Lets's calculate GCF of 1823,6806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1823,6806 By Matching Biggest Common Factor Method
Now, list down the factors of 1823
:1,1823
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 1823,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 1823,6806 is 1.
Lets's calculate LCM of 327,516
| 3 | 327, 516 |
| 109, 172 |
∴ So the LCM of the given numbers is 3 x 109 x 172 = 56244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56244
Therefore, the GCF of Fractions 1823/327,6806/516 is 1/56244
Least Common Multiple of 327,516 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 327,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,516) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(327,516) x common factors =3 x 1 = 3
LCM(327,516) = ( 327 × 516 ) / 3
LCM(327,516) = 168732 / 3
LCM(327,516) = 56244
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FAQs on GCF of Fractions of 1823/327, 6806/516
1. What is the HCF of 1823,6806?
The HCF of 1823,6806 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 1823/327, 6806/516?
Answer: GCF of Numerators as per given numbers 1823/327, 6806/516 is
GCF of Numerators i.e. for 1823,6806 is 1
LCM of denominators i.e. for 327,516 is 56244.
Thus, GCF of Fractions is 1/56244.Finally, GCF of Fractions for 1823/327, 6806/516 is 1/56244.