GCF of 4875/863, 4993/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4875/863, 4993/493 i.e 1/425459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4875/863, 4993/493.
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 4875/863,4993/493?
Given fractions are 4875/863,4993/493
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 4875/863,4993/493, numerators are 4875,4993
Denominators are 863,493
The GCF of 4875,4993 is 1 .
LCM of 863,493 is 425459.
The greatest common factor of 4875/863,4993/493 = [GCF of 4875,4993]/[LCM of 863,493]= 1/425459
Therefore, the GCF of 4875/863,4993/493 is 1/425459.
To find the highest common factor of 4875,4993, we have to find the factors of both numbers and list the highest common factor.
The factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
The factors of 4993 are 1, 4993
The HCF of 4875,4993 is 1.
Lets's calculate GCF of 4875,4993
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4875,4993 By Matching Biggest Common Factor Method
Now, list down the factors of 4875
:1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Now, list down the factors of 4993
:1,4993
Greatest Common Factor
We found the factors 4875,4993 . The biggest common factor number is the GCF number.
So the greatest common factor 4875,4993 is 1.
Lets's calculate LCM of 863,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 425459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425459
Therefore, the GCF of Fractions 4875/863,4993/493 is 1/425459
Least Common Multiple of 863,493 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 863,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,493) x common factors =1 x 1 = 1
LCM(863,493) = ( 863 × 493 ) / 1
LCM(863,493) = 425459 / 1
LCM(863,493) = 425459
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FAQs on GCF of Fractions of 4875/863, 4993/493
1. What is the HCF of 4875,4993?
The HCF of 4875,4993 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 4875/863, 4993/493?
Answer: GCF of Numerators as per given numbers 4875/863, 4993/493 is
GCF of Numerators i.e. for 4875,4993 is 1
LCM of denominators i.e. for 863,493 is 425459.
Thus, GCF of Fractions is 1/425459.Finally, GCF of Fractions for 4875/863, 4993/493 is 1/425459.