GCF of 5127/343, 3159/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5127/343, 3159/338 i.e 3/115934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5127/343, 3159/338.
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 5127/343,3159/338?
Given fractions are 5127/343,3159/338
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 5127/343,3159/338, numerators are 5127,3159
Denominators are 343,338
The GCF of 5127,3159 is 3 .
LCM of 343,338 is 115934.
The greatest common factor of 5127/343,3159/338 = [GCF of 5127,3159]/[LCM of 343,338]= 3/115934
Therefore, the GCF of 5127/343,3159/338 is 3/115934.
To find the highest common factor of 5127,3159, we have to find the factors of both numbers and list the highest common factor.
The factors of 5127 are 1, 3, 1709, 5127
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The HCF of 5127,3159 is 3.
Lets's calculate GCF of 5127,3159
| 3 | 5127, 3159 |
| 1709, 1053 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5127,3159 By Matching Biggest Common Factor Method
Now, list down the factors of 5127
:1,3,1709,5127
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Greatest Common Factor
We found the factors 5127,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 5127,3159 is 3.
Lets's calculate LCM of 343,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 115934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115934
Therefore, the GCF of Fractions 5127/343,3159/338 is 3/115934
Least Common Multiple of 343,338 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 343,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,338) x common factors =1 x 1 = 1
LCM(343,338) = ( 343 × 338 ) / 1
LCM(343,338) = 115934 / 1
LCM(343,338) = 115934
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FAQs on GCF of Fractions of 5127/343, 3159/338
1. What is the HCF of 5127,3159?
The HCF of 5127,3159 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 5127/343, 3159/338?
Answer: GCF of Numerators as per given numbers 5127/343, 3159/338 is
GCF of Numerators i.e. for 5127,3159 is 3
LCM of denominators i.e. for 343,338 is 115934.
Thus, GCF of Fractions is 3/115934.Finally, GCF of Fractions for 5127/343, 3159/338 is 3/115934.