GCF of 4041/342, 6252/5373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4041/342, 6252/5373 i.e 3/204174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4041/342, 6252/5373.
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 4041/342,6252/5373?
Given fractions are 4041/342,6252/5373
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 4041/342,6252/5373, numerators are 4041,6252
Denominators are 342,5373
The GCF of 4041,6252 is 3 .
LCM of 342,5373 is 204174.
The greatest common factor of 4041/342,6252/5373 = [GCF of 4041,6252]/[LCM of 342,5373]= 3/204174
Therefore, the GCF of 4041/342,6252/5373 is 3/204174.
To find the highest common factor of 4041,6252, we have to find the factors of both numbers and list the highest common factor.
The factors of 4041 are 1, 3, 9, 449, 1347, 4041
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The HCF of 4041,6252 is 3.
Lets's calculate GCF of 4041,6252
| 3 | 4041, 6252 |
| 1347, 2084 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4041,6252 By Matching Biggest Common Factor Method
Now, list down the factors of 4041
:1,3,9,449,1347,4041
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Greatest Common Factor
We found the factors 4041,6252 . The biggest common factor number is the GCF number.
So the greatest common factor 4041,6252 is 3.
Lets's calculate LCM of 342,5373
| 3 | 342, 5373 |
| 3 | 114, 1791 |
| 38, 597 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 597 = 204174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/204174
Therefore, the GCF of Fractions 4041/342,6252/5373 is 3/204174
Least Common Multiple of 342,5373 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 342,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5373) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5373) x common factors =9 x 1 = 9
LCM(342,5373) = ( 342 × 5373 ) / 9
LCM(342,5373) = 1837566 / 9
LCM(342,5373) = 204174
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FAQs on GCF of Fractions of 4041/342, 6252/5373
1. What is the HCF of 4041,6252?
The HCF of 4041,6252 is 3
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 4041/342, 6252/5373?
Answer: GCF of Numerators as per given numbers 4041/342, 6252/5373 is
GCF of Numerators i.e. for 4041,6252 is 3
LCM of denominators i.e. for 342,5373 is 204174.
Thus, GCF of Fractions is 3/204174.Finally, GCF of Fractions for 4041/342, 6252/5373 is 3/204174.