GCF of 4883/588, 7469/4791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4883/588, 7469/4791 i.e 1/939036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4883/588, 7469/4791.
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 4883/588,7469/4791?
Given fractions are 4883/588,7469/4791
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 4883/588,7469/4791, numerators are 4883,7469
Denominators are 588,4791
The GCF of 4883,7469 is 1 .
LCM of 588,4791 is 939036.
The greatest common factor of 4883/588,7469/4791 = [GCF of 4883,7469]/[LCM of 588,4791]= 1/939036
Therefore, the GCF of 4883/588,7469/4791 is 1/939036.
To find the highest common factor of 4883,7469, we have to find the factors of both numbers and list the highest common factor.
The factors of 4883 are 1, 19, 257, 4883
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The HCF of 4883,7469 is 1.
Lets's calculate GCF of 4883,7469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4883,7469 By Matching Biggest Common Factor Method
Now, list down the factors of 4883
:1,19,257,4883
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Greatest Common Factor
We found the factors 4883,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 4883,7469 is 1.
Lets's calculate LCM of 588,4791
| 3 | 588, 4791 |
| 196, 1597 |
∴ So the LCM of the given numbers is 3 x 196 x 1597 = 939036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/939036
Therefore, the GCF of Fractions 4883/588,7469/4791 is 1/939036
Least Common Multiple of 588,4791 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 588,4791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,4791) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(588,4791) x common factors =3 x 1 = 3
LCM(588,4791) = ( 588 × 4791 ) / 3
LCM(588,4791) = 2817108 / 3
LCM(588,4791) = 939036
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FAQs on GCF of Fractions of 4883/588, 7469/4791
1. What is the HCF of 4883,7469?
The HCF of 4883,7469 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 4883/588, 7469/4791?
Answer: GCF of Numerators as per given numbers 4883/588, 7469/4791 is
GCF of Numerators i.e. for 4883,7469 is 1
LCM of denominators i.e. for 588,4791 is 939036.
Thus, GCF of Fractions is 1/939036.Finally, GCF of Fractions for 4883/588, 7469/4791 is 1/939036.