GCF of 43/493, 7210/2711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/493, 7210/2711 i.e 1/1336523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/493, 7210/2711.
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 43/493,7210/2711?
Given fractions are 43/493,7210/2711
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 43/493,7210/2711, numerators are 43,7210
Denominators are 493,2711
The GCF of 43,7210 is 1 .
LCM of 493,2711 is 1336523.
The greatest common factor of 43/493,7210/2711 = [GCF of 43,7210]/[LCM of 493,2711]= 1/1336523
Therefore, the GCF of 43/493,7210/2711 is 1/1336523.
To find the highest common factor of 43,7210, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 43,7210 is 1.
Lets's calculate GCF of 43,7210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 43,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 43,7210 is 1.
Lets's calculate LCM of 493,2711
Given numbers has no common factors except 1. So, there LCM is their product i.e 1336523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1336523
Therefore, the GCF of Fractions 43/493,7210/2711 is 1/1336523
Least Common Multiple of 493,2711 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 493,2711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,2711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,2711) x common factors =1 x 1 = 1
LCM(493,2711) = ( 493 × 2711 ) / 1
LCM(493,2711) = 1336523 / 1
LCM(493,2711) = 1336523
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FAQs on GCF of Fractions of 43/493, 7210/2711
1. What is the HCF of 43,7210?
The HCF of 43,7210 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 43/493, 7210/2711?
Answer: GCF of Numerators as per given numbers 43/493, 7210/2711 is
GCF of Numerators i.e. for 43,7210 is 1
LCM of denominators i.e. for 493,2711 is 1336523.
Thus, GCF of Fractions is 1/1336523.Finally, GCF of Fractions for 43/493, 7210/2711 is 1/1336523.