GCF of 5763/582, 5480/1314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5763/582, 5480/1314 i.e 1/127458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5763/582, 5480/1314.
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 5763/582,5480/1314?
Given fractions are 5763/582,5480/1314
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 5763/582,5480/1314, numerators are 5763,5480
Denominators are 582,1314
The GCF of 5763,5480 is 1 .
LCM of 582,1314 is 127458.
The greatest common factor of 5763/582,5480/1314 = [GCF of 5763,5480]/[LCM of 582,1314]= 1/127458
Therefore, the GCF of 5763/582,5480/1314 is 1/127458.
To find the highest common factor of 5763,5480, we have to find the factors of both numbers and list the highest common factor.
The factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763
The factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480
The HCF of 5763,5480 is 1.
Lets's calculate GCF of 5763,5480
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5763,5480 By Matching Biggest Common Factor Method
Now, list down the factors of 5763
:1,3,17,51,113,339,1921,5763
Now, list down the factors of 5480
:1,2,4,5,8,10,20,40,137,274,548,685,1096,1370,2740,5480
Greatest Common Factor
We found the factors 5763,5480 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,5480 is 1.
Lets's calculate LCM of 582,1314
| 2 | 582, 1314 |
| 3 | 291, 657 |
| 97, 219 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 219 = 127458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127458
Therefore, the GCF of Fractions 5763/582,5480/1314 is 1/127458
Least Common Multiple of 582,1314 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 582,1314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,1314) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,1314) x common factors =6 x 1 = 6
LCM(582,1314) = ( 582 × 1314 ) / 6
LCM(582,1314) = 764748 / 6
LCM(582,1314) = 127458
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FAQs on GCF of Fractions of 5763/582, 5480/1314
1. What is the HCF of 5763,5480?
The HCF of 5763,5480 is 1
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 5763/582, 5480/1314?
Answer: GCF of Numerators as per given numbers 5763/582, 5480/1314 is
GCF of Numerators i.e. for 5763,5480 is 1
LCM of denominators i.e. for 582,1314 is 127458.
Thus, GCF of Fractions is 1/127458.Finally, GCF of Fractions for 5763/582, 5480/1314 is 1/127458.