GCF of 5031/333, 7484/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5031/333, 7484/929 i.e 1/309357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5031/333, 7484/929.
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 5031/333,7484/929?
Given fractions are 5031/333,7484/929
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 5031/333,7484/929, numerators are 5031,7484
Denominators are 333,929
The GCF of 5031,7484 is 1 .
LCM of 333,929 is 309357.
The greatest common factor of 5031/333,7484/929 = [GCF of 5031,7484]/[LCM of 333,929]= 1/309357
Therefore, the GCF of 5031/333,7484/929 is 1/309357.
To find the highest common factor of 5031,7484, we have to find the factors of both numbers and list the highest common factor.
The factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
The factors of 7484 are 1, 2, 4, 1871, 3742, 7484
The HCF of 5031,7484 is 1.
Lets's calculate GCF of 5031,7484
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5031,7484 By Matching Biggest Common Factor Method
Now, list down the factors of 5031
:1,3,9,13,39,43,117,129,387,559,1677,5031
Now, list down the factors of 7484
:1,2,4,1871,3742,7484
Greatest Common Factor
We found the factors 5031,7484 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,7484 is 1.
Lets's calculate LCM of 333,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 309357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309357
Therefore, the GCF of Fractions 5031/333,7484/929 is 1/309357
Least Common Multiple of 333,929 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 333,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,929) x common factors =1 x 1 = 1
LCM(333,929) = ( 333 × 929 ) / 1
LCM(333,929) = 309357 / 1
LCM(333,929) = 309357
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FAQs on GCF of Fractions of 5031/333, 7484/929
1. What is the HCF of 5031,7484?
The HCF of 5031,7484 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 5031/333, 7484/929?
Answer: GCF of Numerators as per given numbers 5031/333, 7484/929 is
GCF of Numerators i.e. for 5031,7484 is 1
LCM of denominators i.e. for 333,929 is 309357.
Thus, GCF of Fractions is 1/309357.Finally, GCF of Fractions for 5031/333, 7484/929 is 1/309357.