GCF of 6378/143, 8504/7133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6378/143, 8504/7133 i.e 2126/1020019 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6378/143, 8504/7133.
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 6378/143,8504/7133?
Given fractions are 6378/143,8504/7133
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 6378/143,8504/7133, numerators are 6378,8504
Denominators are 143,7133
The GCF of 6378,8504 is 2126 .
LCM of 143,7133 is 1020019.
The greatest common factor of 6378/143,8504/7133 = [GCF of 6378,8504]/[LCM of 143,7133]= 2126/1020019
Therefore, the GCF of 6378/143,8504/7133 is 2126/1020019.
To find the highest common factor of 6378,8504, we have to find the factors of both numbers and list the highest common factor.
The factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378
The factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504
The HCF of 6378,8504 is 2126.
Lets's calculate GCF of 6378,8504
| 2 | 6378, 8504 |
| 1063 | 3189, 4252 |
| 3, 4 |
∴ So the GCF of the given numbers is 2 x 1063 = 2126
Greatest Common Factor of 6378,8504 By Matching Biggest Common Factor Method
Now, list down the factors of 6378
:1,2,3,6,1063,2126,3189,6378
Now, list down the factors of 8504
:1,2,4,8,1063,2126,4252,8504
Greatest Common Factor
We found the factors 6378,8504 . The biggest common factor number is the GCF number.
So the greatest common factor 6378,8504 is 2126.
Lets's calculate LCM of 143,7133
Given numbers has no common factors except 1. So, there LCM is their product i.e 1020019
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2126/1020019
Therefore, the GCF of Fractions 6378/143,8504/7133 is 2126/1020019
Least Common Multiple of 143,7133 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 143,7133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,7133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,7133) x common factors =1 x 1 = 1
LCM(143,7133) = ( 143 × 7133 ) / 1
LCM(143,7133) = 1020019 / 1
LCM(143,7133) = 1020019
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FAQs on GCF of Fractions of 6378/143, 8504/7133
1. What is the HCF of 6378,8504?
The HCF of 6378,8504 is 2126
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 6378/143, 8504/7133?
Answer: GCF of Numerators as per given numbers 6378/143, 8504/7133 is
GCF of Numerators i.e. for 6378,8504 is 2126
LCM of denominators i.e. for 143,7133 is 1020019.
Thus, GCF of Fractions is 2126/1020019.Finally, GCF of Fractions for 6378/143, 8504/7133 is 2126/1020019.