GCF of 4763/566, 4015/3929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4763/566, 4015/3929 i.e 11/2223814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4763/566, 4015/3929.
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 4763/566,4015/3929?
Given fractions are 4763/566,4015/3929
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 4763/566,4015/3929, numerators are 4763,4015
Denominators are 566,3929
The GCF of 4763,4015 is 11 .
LCM of 566,3929 is 2223814.
The greatest common factor of 4763/566,4015/3929 = [GCF of 4763,4015]/[LCM of 566,3929]= 11/2223814
Therefore, the GCF of 4763/566,4015/3929 is 11/2223814.
To find the highest common factor of 4763,4015, we have to find the factors of both numbers and list the highest common factor.
The factors of 4763 are 1, 11, 433, 4763
The factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015
The HCF of 4763,4015 is 11.
Lets's calculate GCF of 4763,4015
| 11 | 4763, 4015 |
| 433, 365 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4763,4015 By Matching Biggest Common Factor Method
Now, list down the factors of 4763
:1,11,433,4763
Now, list down the factors of 4015
:1,5,11,55,73,365,803,4015
Greatest Common Factor
We found the factors 4763,4015 . The biggest common factor number is the GCF number.
So the greatest common factor 4763,4015 is 11.
Lets's calculate LCM of 566,3929
Given numbers has no common factors except 1. So, there LCM is their product i.e 2223814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2223814
Therefore, the GCF of Fractions 4763/566,4015/3929 is 11/2223814
Least Common Multiple of 566,3929 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 566,3929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,3929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,3929) x common factors =1 x 1 = 1
LCM(566,3929) = ( 566 × 3929 ) / 1
LCM(566,3929) = 2223814 / 1
LCM(566,3929) = 2223814
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FAQs on GCF of Fractions of 4763/566, 4015/3929
1. What is the HCF of 4763,4015?
The HCF of 4763,4015 is 11
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 4763/566, 4015/3929?
Answer: GCF of Numerators as per given numbers 4763/566, 4015/3929 is
GCF of Numerators i.e. for 4763,4015 is 11
LCM of denominators i.e. for 566,3929 is 2223814.
Thus, GCF of Fractions is 11/2223814.Finally, GCF of Fractions for 4763/566, 4015/3929 is 11/2223814.