GCF of 4831/301, 3237/9874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4831/301, 3237/9874 i.e 1/2972074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4831/301, 3237/9874.
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 4831/301,3237/9874?
Given fractions are 4831/301,3237/9874
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 4831/301,3237/9874, numerators are 4831,3237
Denominators are 301,9874
The GCF of 4831,3237 is 1 .
LCM of 301,9874 is 2972074.
The greatest common factor of 4831/301,3237/9874 = [GCF of 4831,3237]/[LCM of 301,9874]= 1/2972074
Therefore, the GCF of 4831/301,3237/9874 is 1/2972074.
To find the highest common factor of 4831,3237, we have to find the factors of both numbers and list the highest common factor.
The factors of 4831 are 1, 4831
The factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237
The HCF of 4831,3237 is 1.
Lets's calculate GCF of 4831,3237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4831,3237 By Matching Biggest Common Factor Method
Now, list down the factors of 4831
:1,4831
Now, list down the factors of 3237
:1,3,13,39,83,249,1079,3237
Greatest Common Factor
We found the factors 4831,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 4831,3237 is 1.
Lets's calculate LCM of 301,9874
Given numbers has no common factors except 1. So, there LCM is their product i.e 2972074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2972074
Therefore, the GCF of Fractions 4831/301,3237/9874 is 1/2972074
Least Common Multiple of 301,9874 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 301,9874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,9874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,9874) x common factors =1 x 1 = 1
LCM(301,9874) = ( 301 × 9874 ) / 1
LCM(301,9874) = 2972074 / 1
LCM(301,9874) = 2972074
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FAQs on GCF of Fractions of 4831/301, 3237/9874
1. What is the HCF of 4831,3237?
The HCF of 4831,3237 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 4831/301, 3237/9874?
Answer: GCF of Numerators as per given numbers 4831/301, 3237/9874 is
GCF of Numerators i.e. for 4831,3237 is 1
LCM of denominators i.e. for 301,9874 is 2972074.
Thus, GCF of Fractions is 1/2972074.Finally, GCF of Fractions for 4831/301, 3237/9874 is 1/2972074.