GCF of 1513/705, 4311/2211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1513/705, 4311/2211 i.e 1/519585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1513/705, 4311/2211.
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 1513/705,4311/2211?
Given fractions are 1513/705,4311/2211
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 1513/705,4311/2211, numerators are 1513,4311
Denominators are 705,2211
The GCF of 1513,4311 is 1 .
LCM of 705,2211 is 519585.
The greatest common factor of 1513/705,4311/2211 = [GCF of 1513,4311]/[LCM of 705,2211]= 1/519585
Therefore, the GCF of 1513/705,4311/2211 is 1/519585.
To find the highest common factor of 1513,4311, we have to find the factors of both numbers and list the highest common factor.
The factors of 1513 are 1, 17, 89, 1513
The factors of 4311 are 1, 3, 9, 479, 1437, 4311
The HCF of 1513,4311 is 1.
Lets's calculate GCF of 1513,4311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1513,4311 By Matching Biggest Common Factor Method
Now, list down the factors of 1513
:1,17,89,1513
Now, list down the factors of 4311
:1,3,9,479,1437,4311
Greatest Common Factor
We found the factors 1513,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 1513,4311 is 1.
Lets's calculate LCM of 705,2211
| 3 | 705, 2211 |
| 235, 737 |
∴ So the LCM of the given numbers is 3 x 235 x 737 = 519585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519585
Therefore, the GCF of Fractions 1513/705,4311/2211 is 1/519585
Least Common Multiple of 705,2211 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 705,2211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,2211) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,2211) x common factors =3 x 1 = 3
LCM(705,2211) = ( 705 × 2211 ) / 3
LCM(705,2211) = 1558755 / 3
LCM(705,2211) = 519585
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1513/705, 4311/2211
1. What is the HCF of 1513,4311?
The HCF of 1513,4311 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 1513/705, 4311/2211?
Answer: GCF of Numerators as per given numbers 1513/705, 4311/2211 is
GCF of Numerators i.e. for 1513,4311 is 1
LCM of denominators i.e. for 705,2211 is 519585.
Thus, GCF of Fractions is 1/519585.Finally, GCF of Fractions for 1513/705, 4311/2211 is 1/519585.