GCF of 6429/251, 4131/8089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6429/251, 4131/8089 i.e 3/2030339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6429/251, 4131/8089.
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 6429/251,4131/8089?
Given fractions are 6429/251,4131/8089
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 6429/251,4131/8089, numerators are 6429,4131
Denominators are 251,8089
The GCF of 6429,4131 is 3 .
LCM of 251,8089 is 2030339.
The greatest common factor of 6429/251,4131/8089 = [GCF of 6429,4131]/[LCM of 251,8089]= 3/2030339
Therefore, the GCF of 6429/251,4131/8089 is 3/2030339.
To find the highest common factor of 6429,4131, we have to find the factors of both numbers and list the highest common factor.
The factors of 6429 are 1, 3, 2143, 6429
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The HCF of 6429,4131 is 3.
Lets's calculate GCF of 6429,4131
| 3 | 6429, 4131 |
| 2143, 1377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6429,4131 By Matching Biggest Common Factor Method
Now, list down the factors of 6429
:1,3,2143,6429
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 6429,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 6429,4131 is 3.
Lets's calculate LCM of 251,8089
Given numbers has no common factors except 1. So, there LCM is their product i.e 2030339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2030339
Therefore, the GCF of Fractions 6429/251,4131/8089 is 3/2030339
Least Common Multiple of 251,8089 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 251,8089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,8089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,8089) x common factors =1 x 1 = 1
LCM(251,8089) = ( 251 × 8089 ) / 1
LCM(251,8089) = 2030339 / 1
LCM(251,8089) = 2030339
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FAQs on GCF of Fractions of 6429/251, 4131/8089
1. What is the HCF of 6429,4131?
The HCF of 6429,4131 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 6429/251, 4131/8089?
Answer: GCF of Numerators as per given numbers 6429/251, 4131/8089 is
GCF of Numerators i.e. for 6429,4131 is 3
LCM of denominators i.e. for 251,8089 is 2030339.
Thus, GCF of Fractions is 3/2030339.Finally, GCF of Fractions for 6429/251, 4131/8089 is 3/2030339.