GCF of 6149/993, 4654/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6149/993, 4654/594 i.e 13/196614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6149/993, 4654/594.
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 6149/993,4654/594?
Given fractions are 6149/993,4654/594
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 6149/993,4654/594, numerators are 6149,4654
Denominators are 993,594
The GCF of 6149,4654 is 13 .
LCM of 993,594 is 196614.
The greatest common factor of 6149/993,4654/594 = [GCF of 6149,4654]/[LCM of 993,594]= 13/196614
Therefore, the GCF of 6149/993,4654/594 is 13/196614.
To find the highest common factor of 6149,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 6149,4654 is 13.
Lets's calculate GCF of 6149,4654
| 13 | 6149, 4654 |
| 473, 358 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6149,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 6149
:1,11,13,43,143,473,559,6149
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 6149,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 6149,4654 is 13.
Lets's calculate LCM of 993,594
| 3 | 993, 594 |
| 331, 198 |
∴ So the LCM of the given numbers is 3 x 331 x 198 = 196614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/196614
Therefore, the GCF of Fractions 6149/993,4654/594 is 13/196614
Least Common Multiple of 993,594 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 993,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,594) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,594) x common factors =3 x 1 = 3
LCM(993,594) = ( 993 × 594 ) / 3
LCM(993,594) = 589842 / 3
LCM(993,594) = 196614
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FAQs on GCF of Fractions of 6149/993, 4654/594
1. What is the HCF of 6149,4654?
The HCF of 6149,4654 is 13
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 6149/993, 4654/594?
Answer: GCF of Numerators as per given numbers 6149/993, 4654/594 is
GCF of Numerators i.e. for 6149,4654 is 13
LCM of denominators i.e. for 993,594 is 196614.
Thus, GCF of Fractions is 13/196614.Finally, GCF of Fractions for 6149/993, 4654/594 is 13/196614.