GCF of 6774/194, 4086/5798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6774/194, 4086/5798 i.e 6/562406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6774/194, 4086/5798.
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 6774/194,4086/5798?
Given fractions are 6774/194,4086/5798
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 6774/194,4086/5798, numerators are 6774,4086
Denominators are 194,5798
The GCF of 6774,4086 is 6 .
LCM of 194,5798 is 562406.
The greatest common factor of 6774/194,4086/5798 = [GCF of 6774,4086]/[LCM of 194,5798]= 6/562406
Therefore, the GCF of 6774/194,4086/5798 is 6/562406.
To find the highest common factor of 6774,4086, we have to find the factors of both numbers and list the highest common factor.
The factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774
The factors of 4086 are 1, 2, 3, 6, 9, 18, 227, 454, 681, 1362, 2043, 4086
The HCF of 6774,4086 is 6.
Lets's calculate GCF of 6774,4086
| 2 | 6774, 4086 |
| 3 | 3387, 2043 |
| 1129, 681 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6774,4086 By Matching Biggest Common Factor Method
Now, list down the factors of 6774
:1,2,3,6,1129,2258,3387,6774
Now, list down the factors of 4086
:1,2,3,6,9,18,227,454,681,1362,2043,4086
Greatest Common Factor
We found the factors 6774,4086 . The biggest common factor number is the GCF number.
So the greatest common factor 6774,4086 is 6.
Lets's calculate LCM of 194,5798
| 2 | 194, 5798 |
| 97, 2899 |
∴ So the LCM of the given numbers is 2 x 97 x 2899 = 562406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/562406
Therefore, the GCF of Fractions 6774/194,4086/5798 is 6/562406
Least Common Multiple of 194,5798 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 194,5798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,5798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,5798) x common factors =2 x 1 = 2
LCM(194,5798) = ( 194 × 5798 ) / 2
LCM(194,5798) = 1124812 / 2
LCM(194,5798) = 562406
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FAQs on GCF of Fractions of 6774/194, 4086/5798
1. What is the HCF of 6774,4086?
The HCF of 6774,4086 is 6
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 6774/194, 4086/5798?
Answer: GCF of Numerators as per given numbers 6774/194, 4086/5798 is
GCF of Numerators i.e. for 6774,4086 is 6
LCM of denominators i.e. for 194,5798 is 562406.
Thus, GCF of Fractions is 6/562406.Finally, GCF of Fractions for 6774/194, 4086/5798 is 6/562406.