GCF of 5171/363, 7535/2928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5171/363, 7535/2928 i.e 1/354288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5171/363, 7535/2928.
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 5171/363,7535/2928?
Given fractions are 5171/363,7535/2928
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 5171/363,7535/2928, numerators are 5171,7535
Denominators are 363,2928
The GCF of 5171,7535 is 1 .
LCM of 363,2928 is 354288.
The greatest common factor of 5171/363,7535/2928 = [GCF of 5171,7535]/[LCM of 363,2928]= 1/354288
Therefore, the GCF of 5171/363,7535/2928 is 1/354288.
To find the highest common factor of 5171,7535, we have to find the factors of both numbers and list the highest common factor.
The factors of 5171 are 1, 5171
The factors of 7535 are 1, 5, 11, 55, 137, 685, 1507, 7535
The HCF of 5171,7535 is 1.
Lets's calculate GCF of 5171,7535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5171,7535 By Matching Biggest Common Factor Method
Now, list down the factors of 5171
:1,5171
Now, list down the factors of 7535
:1,5,11,55,137,685,1507,7535
Greatest Common Factor
We found the factors 5171,7535 . The biggest common factor number is the GCF number.
So the greatest common factor 5171,7535 is 1.
Lets's calculate LCM of 363,2928
| 3 | 363, 2928 |
| 121, 976 |
∴ So the LCM of the given numbers is 3 x 121 x 976 = 354288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354288
Therefore, the GCF of Fractions 5171/363,7535/2928 is 1/354288
Least Common Multiple of 363,2928 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 363,2928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,2928) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,2928) x common factors =3 x 1 = 3
LCM(363,2928) = ( 363 × 2928 ) / 3
LCM(363,2928) = 1062864 / 3
LCM(363,2928) = 354288
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FAQs on GCF of Fractions of 5171/363, 7535/2928
1. What is the HCF of 5171,7535?
The HCF of 5171,7535 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 5171/363, 7535/2928?
Answer: GCF of Numerators as per given numbers 5171/363, 7535/2928 is
GCF of Numerators i.e. for 5171,7535 is 1
LCM of denominators i.e. for 363,2928 is 354288.
Thus, GCF of Fractions is 1/354288.Finally, GCF of Fractions for 5171/363, 7535/2928 is 1/354288.