GCF of 4931/479, 1132/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4931/479, 1132/813 i.e 1/389427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4931/479, 1132/813.
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 4931/479,1132/813?
Given fractions are 4931/479,1132/813
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 4931/479,1132/813, numerators are 4931,1132
Denominators are 479,813
The GCF of 4931,1132 is 1 .
LCM of 479,813 is 389427.
The greatest common factor of 4931/479,1132/813 = [GCF of 4931,1132]/[LCM of 479,813]= 1/389427
Therefore, the GCF of 4931/479,1132/813 is 1/389427.
To find the highest common factor of 4931,1132, we have to find the factors of both numbers and list the highest common factor.
The factors of 4931 are 1, 4931
The factors of 1132 are 1, 2, 4, 283, 566, 1132
The HCF of 4931,1132 is 1.
Lets's calculate GCF of 4931,1132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4931,1132 By Matching Biggest Common Factor Method
Now, list down the factors of 4931
:1,4931
Now, list down the factors of 1132
:1,2,4,283,566,1132
Greatest Common Factor
We found the factors 4931,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 4931,1132 is 1.
Lets's calculate LCM of 479,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 389427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389427
Therefore, the GCF of Fractions 4931/479,1132/813 is 1/389427
Least Common Multiple of 479,813 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 479,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,813) x common factors =1 x 1 = 1
LCM(479,813) = ( 479 × 813 ) / 1
LCM(479,813) = 389427 / 1
LCM(479,813) = 389427
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FAQs on GCF of Fractions of 4931/479, 1132/813
1. What is the HCF of 4931,1132?
The HCF of 4931,1132 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 4931/479, 1132/813?
Answer: GCF of Numerators as per given numbers 4931/479, 1132/813 is
GCF of Numerators i.e. for 4931,1132 is 1
LCM of denominators i.e. for 479,813 is 389427.
Thus, GCF of Fractions is 1/389427.Finally, GCF of Fractions for 4931/479, 1132/813 is 1/389427.