GCF of 4771/307, 1532/4761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4771/307, 1532/4761 i.e 1/1461627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4771/307, 1532/4761.
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 4771/307,1532/4761?
Given fractions are 4771/307,1532/4761
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 4771/307,1532/4761, numerators are 4771,1532
Denominators are 307,4761
The GCF of 4771,1532 is 1 .
LCM of 307,4761 is 1461627.
The greatest common factor of 4771/307,1532/4761 = [GCF of 4771,1532]/[LCM of 307,4761]= 1/1461627
Therefore, the GCF of 4771/307,1532/4761 is 1/1461627.
To find the highest common factor of 4771,1532, we have to find the factors of both numbers and list the highest common factor.
The factors of 4771 are 1, 13, 367, 4771
The factors of 1532 are 1, 2, 4, 383, 766, 1532
The HCF of 4771,1532 is 1.
Lets's calculate GCF of 4771,1532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4771,1532 By Matching Biggest Common Factor Method
Now, list down the factors of 4771
:1,13,367,4771
Now, list down the factors of 1532
:1,2,4,383,766,1532
Greatest Common Factor
We found the factors 4771,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 4771,1532 is 1.
Lets's calculate LCM of 307,4761
Given numbers has no common factors except 1. So, there LCM is their product i.e 1461627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1461627
Therefore, the GCF of Fractions 4771/307,1532/4761 is 1/1461627
Least Common Multiple of 307,4761 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 307,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,4761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,4761) x common factors =1 x 1 = 1
LCM(307,4761) = ( 307 × 4761 ) / 1
LCM(307,4761) = 1461627 / 1
LCM(307,4761) = 1461627
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FAQs on GCF of Fractions of 4771/307, 1532/4761
1. What is the HCF of 4771,1532?
The HCF of 4771,1532 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 4771/307, 1532/4761?
Answer: GCF of Numerators as per given numbers 4771/307, 1532/4761 is
GCF of Numerators i.e. for 4771,1532 is 1
LCM of denominators i.e. for 307,4761 is 1461627.
Thus, GCF of Fractions is 1/1461627.Finally, GCF of Fractions for 4771/307, 1532/4761 is 1/1461627.