GCF of 2746/829, 3058/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2746/829, 3058/259 i.e 2/214711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2746/829, 3058/259.
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 2746/829,3058/259?
Given fractions are 2746/829,3058/259
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 2746/829,3058/259, numerators are 2746,3058
Denominators are 829,259
The GCF of 2746,3058 is 2 .
LCM of 829,259 is 214711.
The greatest common factor of 2746/829,3058/259 = [GCF of 2746,3058]/[LCM of 829,259]= 2/214711
Therefore, the GCF of 2746/829,3058/259 is 2/214711.
To find the highest common factor of 2746,3058, we have to find the factors of both numbers and list the highest common factor.
The factors of 2746 are 1, 2, 1373, 2746
The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058
The HCF of 2746,3058 is 2.
Lets's calculate GCF of 2746,3058
| 2 | 2746, 3058 |
| 1373, 1529 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2746,3058 By Matching Biggest Common Factor Method
Now, list down the factors of 2746
:1,2,1373,2746
Now, list down the factors of 3058
:1,2,11,22,139,278,1529,3058
Greatest Common Factor
We found the factors 2746,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 2746,3058 is 2.
Lets's calculate LCM of 829,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 214711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214711
Therefore, the GCF of Fractions 2746/829,3058/259 is 2/214711
Least Common Multiple of 829,259 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 829,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,259) x common factors =1 x 1 = 1
LCM(829,259) = ( 829 × 259 ) / 1
LCM(829,259) = 214711 / 1
LCM(829,259) = 214711
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FAQs on GCF of Fractions of 2746/829, 3058/259
1. What is the HCF of 2746,3058?
The HCF of 2746,3058 is 2
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 2746/829, 3058/259?
Answer: GCF of Numerators as per given numbers 2746/829, 3058/259 is
GCF of Numerators i.e. for 2746,3058 is 2
LCM of denominators i.e. for 829,259 is 214711.
Thus, GCF of Fractions is 2/214711.Finally, GCF of Fractions for 2746/829, 3058/259 is 2/214711.