GCF of 4933/845, 8423/5731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4933/845, 8423/5731 i.e 1/4842695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4933/845, 8423/5731.
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 4933/845,8423/5731?
Given fractions are 4933/845,8423/5731
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 4933/845,8423/5731, numerators are 4933,8423
Denominators are 845,5731
The GCF of 4933,8423 is 1 .
LCM of 845,5731 is 4842695.
The greatest common factor of 4933/845,8423/5731 = [GCF of 4933,8423]/[LCM of 845,5731]= 1/4842695
Therefore, the GCF of 4933/845,8423/5731 is 1/4842695.
To find the highest common factor of 4933,8423, 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 8423 are 1, 8423
The HCF of 4933,8423 is 1.
Lets's calculate GCF of 4933,8423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4933,8423 By Matching Biggest Common Factor Method
Now, list down the factors of 4933
:1,4933
Now, list down the factors of 8423
:1,8423
Greatest Common Factor
We found the factors 4933,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 4933,8423 is 1.
Lets's calculate LCM of 845,5731
Given numbers has no common factors except 1. So, there LCM is their product i.e 4842695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4842695
Therefore, the GCF of Fractions 4933/845,8423/5731 is 1/4842695
Least Common Multiple of 845,5731 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 845,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,5731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,5731) x common factors =1 x 1 = 1
LCM(845,5731) = ( 845 × 5731 ) / 1
LCM(845,5731) = 4842695 / 1
LCM(845,5731) = 4842695
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FAQs on GCF of Fractions of 4933/845, 8423/5731
1. What is the HCF of 4933,8423?
The HCF of 4933,8423 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 4933/845, 8423/5731?
Answer: GCF of Numerators as per given numbers 4933/845, 8423/5731 is
GCF of Numerators i.e. for 4933,8423 is 1
LCM of denominators i.e. for 845,5731 is 4842695.
Thus, GCF of Fractions is 1/4842695.Finally, GCF of Fractions for 4933/845, 8423/5731 is 1/4842695.