GCF of 8340/293, 2847/6806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8340/293, 2847/6806 i.e 3/1994158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8340/293, 2847/6806.
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 8340/293,2847/6806?
Given fractions are 8340/293,2847/6806
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 8340/293,2847/6806, numerators are 8340,2847
Denominators are 293,6806
The GCF of 8340,2847 is 3 .
LCM of 293,6806 is 1994158.
The greatest common factor of 8340/293,2847/6806 = [GCF of 8340,2847]/[LCM of 293,6806]= 3/1994158
Therefore, the GCF of 8340/293,2847/6806 is 3/1994158.
To find the highest common factor of 8340,2847, we have to find the factors of both numbers and list the highest common factor.
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The factors of 2847 are 1, 3, 13, 39, 73, 219, 949, 2847
The HCF of 8340,2847 is 3.
Lets's calculate GCF of 8340,2847
| 3 | 8340, 2847 |
| 2780, 949 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8340,2847 By Matching Biggest Common Factor Method
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Now, list down the factors of 2847
:1,3,13,39,73,219,949,2847
Greatest Common Factor
We found the factors 8340,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 8340,2847 is 3.
Lets's calculate LCM of 293,6806
Given numbers has no common factors except 1. So, there LCM is their product i.e 1994158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1994158
Therefore, the GCF of Fractions 8340/293,2847/6806 is 3/1994158
Least Common Multiple of 293,6806 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 293,6806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,6806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,6806) x common factors =1 x 1 = 1
LCM(293,6806) = ( 293 × 6806 ) / 1
LCM(293,6806) = 1994158 / 1
LCM(293,6806) = 1994158
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FAQs on GCF of Fractions of 8340/293, 2847/6806
1. What is the HCF of 8340,2847?
The HCF of 8340,2847 is 3
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 8340/293, 2847/6806?
Answer: GCF of Numerators as per given numbers 8340/293, 2847/6806 is
GCF of Numerators i.e. for 8340,2847 is 3
LCM of denominators i.e. for 293,6806 is 1994158.
Thus, GCF of Fractions is 3/1994158.Finally, GCF of Fractions for 8340/293, 2847/6806 is 3/1994158.