GCF of 4933/403, 9375/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4933/403, 9375/976 i.e 1/393328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4933/403, 9375/976.
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 4933/403,9375/976?
Given fractions are 4933/403,9375/976
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 4933/403,9375/976, numerators are 4933,9375
Denominators are 403,976
The GCF of 4933,9375 is 1 .
LCM of 403,976 is 393328.
The greatest common factor of 4933/403,9375/976 = [GCF of 4933,9375]/[LCM of 403,976]= 1/393328
Therefore, the GCF of 4933/403,9375/976 is 1/393328.
To find the highest common factor of 4933,9375, 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 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The HCF of 4933,9375 is 1.
Lets's calculate GCF of 4933,9375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4933,9375 By Matching Biggest Common Factor Method
Now, list down the factors of 4933
:1,4933
Now, list down the factors of 9375
:1,3,5,15,25,75,125,375,625,1875,3125,9375
Greatest Common Factor
We found the factors 4933,9375 . The biggest common factor number is the GCF number.
So the greatest common factor 4933,9375 is 1.
Lets's calculate LCM of 403,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 393328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393328
Therefore, the GCF of Fractions 4933/403,9375/976 is 1/393328
Least Common Multiple of 403,976 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 403,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,976) x common factors =1 x 1 = 1
LCM(403,976) = ( 403 × 976 ) / 1
LCM(403,976) = 393328 / 1
LCM(403,976) = 393328
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FAQs on GCF of Fractions of 4933/403, 9375/976
1. What is the HCF of 4933,9375?
The HCF of 4933,9375 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 4933/403, 9375/976?
Answer: GCF of Numerators as per given numbers 4933/403, 9375/976 is
GCF of Numerators i.e. for 4933,9375 is 1
LCM of denominators i.e. for 403,976 is 393328.
Thus, GCF of Fractions is 1/393328.Finally, GCF of Fractions for 4933/403, 9375/976 is 1/393328.