GCF of 6123/332, 3429/1438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6123/332, 3429/1438 i.e 3/238708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6123/332, 3429/1438.
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 6123/332,3429/1438?
Given fractions are 6123/332,3429/1438
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 6123/332,3429/1438, numerators are 6123,3429
Denominators are 332,1438
The GCF of 6123,3429 is 3 .
LCM of 332,1438 is 238708.
The greatest common factor of 6123/332,3429/1438 = [GCF of 6123,3429]/[LCM of 332,1438]= 3/238708
Therefore, the GCF of 6123/332,3429/1438 is 3/238708.
To find the highest common factor of 6123,3429, we have to find the factors of both numbers and list the highest common factor.
The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123
The factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429
The HCF of 6123,3429 is 3.
Lets's calculate GCF of 6123,3429
| 3 | 6123, 3429 |
| 2041, 1143 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6123,3429 By Matching Biggest Common Factor Method
Now, list down the factors of 6123
:1,3,13,39,157,471,2041,6123
Now, list down the factors of 3429
:1,3,9,27,127,381,1143,3429
Greatest Common Factor
We found the factors 6123,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 6123,3429 is 3.
Lets's calculate LCM of 332,1438
| 2 | 332, 1438 |
| 166, 719 |
∴ So the LCM of the given numbers is 2 x 166 x 719 = 238708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/238708
Therefore, the GCF of Fractions 6123/332,3429/1438 is 3/238708
Least Common Multiple of 332,1438 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 332,1438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,1438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(332,1438) x common factors =2 x 1 = 2
LCM(332,1438) = ( 332 × 1438 ) / 2
LCM(332,1438) = 477416 / 2
LCM(332,1438) = 238708
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FAQs on GCF of Fractions of 6123/332, 3429/1438
1. What is the HCF of 6123,3429?
The HCF of 6123,3429 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 6123/332, 3429/1438?
Answer: GCF of Numerators as per given numbers 6123/332, 3429/1438 is
GCF of Numerators i.e. for 6123,3429 is 3
LCM of denominators i.e. for 332,1438 is 238708.
Thus, GCF of Fractions is 3/238708.Finally, GCF of Fractions for 6123/332, 3429/1438 is 3/238708.