GCF of 4933/811, 1683/5036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4933/811, 1683/5036 i.e 1/4084196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4933/811, 1683/5036.
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 4933/811,1683/5036?
Given fractions are 4933/811,1683/5036
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 4933/811,1683/5036, numerators are 4933,1683
Denominators are 811,5036
The GCF of 4933,1683 is 1 .
LCM of 811,5036 is 4084196.
The greatest common factor of 4933/811,1683/5036 = [GCF of 4933,1683]/[LCM of 811,5036]= 1/4084196
Therefore, the GCF of 4933/811,1683/5036 is 1/4084196.
To find the highest common factor of 4933,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 4933 are 1, 4933
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 4933,1683 is 1.
Lets's calculate GCF of 4933,1683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4933,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 4933
:1,4933
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Greatest Common Factor
We found the factors 4933,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 4933,1683 is 1.
Lets's calculate LCM of 811,5036
Given numbers has no common factors except 1. So, there LCM is their product i.e 4084196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4084196
Therefore, the GCF of Fractions 4933/811,1683/5036 is 1/4084196
Least Common Multiple of 811,5036 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 811,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,5036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,5036) x common factors =1 x 1 = 1
LCM(811,5036) = ( 811 × 5036 ) / 1
LCM(811,5036) = 4084196 / 1
LCM(811,5036) = 4084196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4933/811, 1683/5036
1. What is the HCF of 4933,1683?
The HCF of 4933,1683 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 4933/811, 1683/5036?
Answer: GCF of Numerators as per given numbers 4933/811, 1683/5036 is
GCF of Numerators i.e. for 4933,1683 is 1
LCM of denominators i.e. for 811,5036 is 4084196.
Thus, GCF of Fractions is 1/4084196.Finally, GCF of Fractions for 4933/811, 1683/5036 is 1/4084196.