GCF of 2818/731, 4863/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2818/731, 4863/798 i.e 1/583338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2818/731, 4863/798.
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 2818/731,4863/798?
Given fractions are 2818/731,4863/798
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 2818/731,4863/798, numerators are 2818,4863
Denominators are 731,798
The GCF of 2818,4863 is 1 .
LCM of 731,798 is 583338.
The greatest common factor of 2818/731,4863/798 = [GCF of 2818,4863]/[LCM of 731,798]= 1/583338
Therefore, the GCF of 2818/731,4863/798 is 1/583338.
To find the highest common factor of 2818,4863, we have to find the factors of both numbers and list the highest common factor.
The factors of 2818 are 1, 2, 1409, 2818
The factors of 4863 are 1, 3, 1621, 4863
The HCF of 2818,4863 is 1.
Lets's calculate GCF of 2818,4863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2818,4863 By Matching Biggest Common Factor Method
Now, list down the factors of 2818
:1,2,1409,2818
Now, list down the factors of 4863
:1,3,1621,4863
Greatest Common Factor
We found the factors 2818,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 2818,4863 is 1.
Lets's calculate LCM of 731,798
Given numbers has no common factors except 1. So, there LCM is their product i.e 583338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583338
Therefore, the GCF of Fractions 2818/731,4863/798 is 1/583338
Least Common Multiple of 731,798 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 731,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,798) x common factors =1 x 1 = 1
LCM(731,798) = ( 731 × 798 ) / 1
LCM(731,798) = 583338 / 1
LCM(731,798) = 583338
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FAQs on GCF of Fractions of 2818/731, 4863/798
1. What is the HCF of 2818,4863?
The HCF of 2818,4863 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 2818/731, 4863/798?
Answer: GCF of Numerators as per given numbers 2818/731, 4863/798 is
GCF of Numerators i.e. for 2818,4863 is 1
LCM of denominators i.e. for 731,798 is 583338.
Thus, GCF of Fractions is 1/583338.Finally, GCF of Fractions for 2818/731, 4863/798 is 1/583338.