GCF of 6394/643, 3194/4071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6394/643, 3194/4071 i.e 2/2617653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6394/643, 3194/4071.
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 6394/643,3194/4071?
Given fractions are 6394/643,3194/4071
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 6394/643,3194/4071, numerators are 6394,3194
Denominators are 643,4071
The GCF of 6394,3194 is 2 .
LCM of 643,4071 is 2617653.
The greatest common factor of 6394/643,3194/4071 = [GCF of 6394,3194]/[LCM of 643,4071]= 2/2617653
Therefore, the GCF of 6394/643,3194/4071 is 2/2617653.
To find the highest common factor of 6394,3194, we have to find the factors of both numbers and list the highest common factor.
The factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394
The factors of 3194 are 1, 2, 1597, 3194
The HCF of 6394,3194 is 2.
Lets's calculate GCF of 6394,3194
| 2 | 6394, 3194 |
| 3197, 1597 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6394,3194 By Matching Biggest Common Factor Method
Now, list down the factors of 6394
:1,2,23,46,139,278,3197,6394
Now, list down the factors of 3194
:1,2,1597,3194
Greatest Common Factor
We found the factors 6394,3194 . The biggest common factor number is the GCF number.
So the greatest common factor 6394,3194 is 2.
Lets's calculate LCM of 643,4071
Given numbers has no common factors except 1. So, there LCM is their product i.e 2617653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2617653
Therefore, the GCF of Fractions 6394/643,3194/4071 is 2/2617653
Least Common Multiple of 643,4071 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 643,4071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,4071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,4071) x common factors =1 x 1 = 1
LCM(643,4071) = ( 643 × 4071 ) / 1
LCM(643,4071) = 2617653 / 1
LCM(643,4071) = 2617653
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FAQs on GCF of Fractions of 6394/643, 3194/4071
1. What is the HCF of 6394,3194?
The HCF of 6394,3194 is 2
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 6394/643, 3194/4071?
Answer: GCF of Numerators as per given numbers 6394/643, 3194/4071 is
GCF of Numerators i.e. for 6394,3194 is 2
LCM of denominators i.e. for 643,4071 is 2617653.
Thus, GCF of Fractions is 2/2617653.Finally, GCF of Fractions for 6394/643, 3194/4071 is 2/2617653.