GCF of 2817/676, 4198/3866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2817/676, 4198/3866 i.e 1/1306708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2817/676, 4198/3866.
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 2817/676,4198/3866?
Given fractions are 2817/676,4198/3866
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 2817/676,4198/3866, numerators are 2817,4198
Denominators are 676,3866
The GCF of 2817,4198 is 1 .
LCM of 676,3866 is 1306708.
The greatest common factor of 2817/676,4198/3866 = [GCF of 2817,4198]/[LCM of 676,3866]= 1/1306708
Therefore, the GCF of 2817/676,4198/3866 is 1/1306708.
To find the highest common factor of 2817,4198, we have to find the factors of both numbers and list the highest common factor.
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The factors of 4198 are 1, 2, 2099, 4198
The HCF of 2817,4198 is 1.
Lets's calculate GCF of 2817,4198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2817,4198 By Matching Biggest Common Factor Method
Now, list down the factors of 2817
:1,3,9,313,939,2817
Now, list down the factors of 4198
:1,2,2099,4198
Greatest Common Factor
We found the factors 2817,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 2817,4198 is 1.
Lets's calculate LCM of 676,3866
| 2 | 676, 3866 |
| 338, 1933 |
∴ So the LCM of the given numbers is 2 x 338 x 1933 = 1306708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1306708
Therefore, the GCF of Fractions 2817/676,4198/3866 is 1/1306708
Least Common Multiple of 676,3866 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 676,3866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,3866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,3866) x common factors =2 x 1 = 2
LCM(676,3866) = ( 676 × 3866 ) / 2
LCM(676,3866) = 2613416 / 2
LCM(676,3866) = 1306708
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FAQs on GCF of Fractions of 2817/676, 4198/3866
1. What is the HCF of 2817,4198?
The HCF of 2817,4198 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 2817/676, 4198/3866?
Answer: GCF of Numerators as per given numbers 2817/676, 4198/3866 is
GCF of Numerators i.e. for 2817,4198 is 1
LCM of denominators i.e. for 676,3866 is 1306708.
Thus, GCF of Fractions is 1/1306708.Finally, GCF of Fractions for 2817/676, 4198/3866 is 1/1306708.