GCF of 5933/743, 4238/3989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5933/743, 4238/3989 i.e 1/2963827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5933/743, 4238/3989.
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 5933/743,4238/3989?
Given fractions are 5933/743,4238/3989
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 5933/743,4238/3989, numerators are 5933,4238
Denominators are 743,3989
The GCF of 5933,4238 is 1 .
LCM of 743,3989 is 2963827.
The greatest common factor of 5933/743,4238/3989 = [GCF of 5933,4238]/[LCM of 743,3989]= 1/2963827
Therefore, the GCF of 5933/743,4238/3989 is 1/2963827.
To find the highest common factor of 5933,4238, we have to find the factors of both numbers and list the highest common factor.
The factors of 5933 are 1, 17, 349, 5933
The factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238
The HCF of 5933,4238 is 1.
Lets's calculate GCF of 5933,4238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5933,4238 By Matching Biggest Common Factor Method
Now, list down the factors of 5933
:1,17,349,5933
Now, list down the factors of 4238
:1,2,13,26,163,326,2119,4238
Greatest Common Factor
We found the factors 5933,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 5933,4238 is 1.
Lets's calculate LCM of 743,3989
Given numbers has no common factors except 1. So, there LCM is their product i.e 2963827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2963827
Therefore, the GCF of Fractions 5933/743,4238/3989 is 1/2963827
Least Common Multiple of 743,3989 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 743,3989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,3989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,3989) x common factors =1 x 1 = 1
LCM(743,3989) = ( 743 × 3989 ) / 1
LCM(743,3989) = 2963827 / 1
LCM(743,3989) = 2963827
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FAQs on GCF of Fractions of 5933/743, 4238/3989
1. What is the HCF of 5933,4238?
The HCF of 5933,4238 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 5933/743, 4238/3989?
Answer: GCF of Numerators as per given numbers 5933/743, 4238/3989 is
GCF of Numerators i.e. for 5933,4238 is 1
LCM of denominators i.e. for 743,3989 is 2963827.
Thus, GCF of Fractions is 1/2963827.Finally, GCF of Fractions for 5933/743, 4238/3989 is 1/2963827.