GCF of 4329/814, 6149/6012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4329/814, 6149/6012 i.e 13/2446884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4329/814, 6149/6012.
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 4329/814,6149/6012?
Given fractions are 4329/814,6149/6012
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 4329/814,6149/6012, numerators are 4329,6149
Denominators are 814,6012
The GCF of 4329,6149 is 13 .
LCM of 814,6012 is 2446884.
The greatest common factor of 4329/814,6149/6012 = [GCF of 4329,6149]/[LCM of 814,6012]= 13/2446884
Therefore, the GCF of 4329/814,6149/6012 is 13/2446884.
To find the highest common factor of 4329,6149, we have to find the factors of both numbers and list the highest common factor.
The factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329
The factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149
The HCF of 4329,6149 is 13.
Lets's calculate GCF of 4329,6149
| 13 | 4329, 6149 |
| 333, 473 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4329,6149 By Matching Biggest Common Factor Method
Now, list down the factors of 4329
:1,3,9,13,37,39,111,117,333,481,1443,4329
Now, list down the factors of 6149
:1,11,13,43,143,473,559,6149
Greatest Common Factor
We found the factors 4329,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,6149 is 13.
Lets's calculate LCM of 814,6012
| 2 | 814, 6012 |
| 407, 3006 |
∴ So the LCM of the given numbers is 2 x 407 x 3006 = 2446884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2446884
Therefore, the GCF of Fractions 4329/814,6149/6012 is 13/2446884
Least Common Multiple of 814,6012 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 814,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,6012) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,6012) x common factors =2 x 1 = 2
LCM(814,6012) = ( 814 × 6012 ) / 2
LCM(814,6012) = 4893768 / 2
LCM(814,6012) = 2446884
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FAQs on GCF of Fractions of 4329/814, 6149/6012
1. What is the HCF of 4329,6149?
The HCF of 4329,6149 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 4329/814, 6149/6012?
Answer: GCF of Numerators as per given numbers 4329/814, 6149/6012 is
GCF of Numerators i.e. for 4329,6149 is 13
LCM of denominators i.e. for 814,6012 is 2446884.
Thus, GCF of Fractions is 13/2446884.Finally, GCF of Fractions for 4329/814, 6149/6012 is 13/2446884.