GCF of 4631/363, 5182/4098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4631/363, 5182/4098 i.e 1/495858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4631/363, 5182/4098.
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 4631/363,5182/4098?
Given fractions are 4631/363,5182/4098
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 4631/363,5182/4098, numerators are 4631,5182
Denominators are 363,4098
The GCF of 4631,5182 is 1 .
LCM of 363,4098 is 495858.
The greatest common factor of 4631/363,5182/4098 = [GCF of 4631,5182]/[LCM of 363,4098]= 1/495858
Therefore, the GCF of 4631/363,5182/4098 is 1/495858.
To find the highest common factor of 4631,5182, we have to find the factors of both numbers and list the highest common factor.
The factors of 4631 are 1, 11, 421, 4631
The factors of 5182 are 1, 2, 2591, 5182
The HCF of 4631,5182 is 1.
Lets's calculate GCF of 4631,5182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4631,5182 By Matching Biggest Common Factor Method
Now, list down the factors of 4631
:1,11,421,4631
Now, list down the factors of 5182
:1,2,2591,5182
Greatest Common Factor
We found the factors 4631,5182 . The biggest common factor number is the GCF number.
So the greatest common factor 4631,5182 is 1.
Lets's calculate LCM of 363,4098
| 3 | 363, 4098 |
| 121, 1366 |
∴ So the LCM of the given numbers is 3 x 121 x 1366 = 495858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495858
Therefore, the GCF of Fractions 4631/363,5182/4098 is 1/495858
Least Common Multiple of 363,4098 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 363,4098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,4098) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,4098) x common factors =3 x 1 = 3
LCM(363,4098) = ( 363 × 4098 ) / 3
LCM(363,4098) = 1487574 / 3
LCM(363,4098) = 495858
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FAQs on GCF of Fractions of 4631/363, 5182/4098
1. What is the HCF of 4631,5182?
The HCF of 4631,5182 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 4631/363, 5182/4098?
Answer: GCF of Numerators as per given numbers 4631/363, 5182/4098 is
GCF of Numerators i.e. for 4631,5182 is 1
LCM of denominators i.e. for 363,4098 is 495858.
Thus, GCF of Fractions is 1/495858.Finally, GCF of Fractions for 4631/363, 5182/4098 is 1/495858.