GCF of 6493/363, 8265/1725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6493/363, 8265/1725 i.e 1/208725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6493/363, 8265/1725.
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 6493/363,8265/1725?
Given fractions are 6493/363,8265/1725
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 6493/363,8265/1725, numerators are 6493,8265
Denominators are 363,1725
The GCF of 6493,8265 is 1 .
LCM of 363,1725 is 208725.
The greatest common factor of 6493/363,8265/1725 = [GCF of 6493,8265]/[LCM of 363,1725]= 1/208725
Therefore, the GCF of 6493/363,8265/1725 is 1/208725.
To find the highest common factor of 6493,8265, we have to find the factors of both numbers and list the highest common factor.
The factors of 6493 are 1, 43, 151, 6493
The factors of 8265 are 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265
The HCF of 6493,8265 is 1.
Lets's calculate GCF of 6493,8265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6493,8265 By Matching Biggest Common Factor Method
Now, list down the factors of 6493
:1,43,151,6493
Now, list down the factors of 8265
:1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265
Greatest Common Factor
We found the factors 6493,8265 . The biggest common factor number is the GCF number.
So the greatest common factor 6493,8265 is 1.
Lets's calculate LCM of 363,1725
| 3 | 363, 1725 |
| 121, 575 |
∴ So the LCM of the given numbers is 3 x 121 x 575 = 208725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208725
Therefore, the GCF of Fractions 6493/363,8265/1725 is 1/208725
Least Common Multiple of 363,1725 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 363,1725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,1725) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,1725) x common factors =3 x 1 = 3
LCM(363,1725) = ( 363 × 1725 ) / 3
LCM(363,1725) = 626175 / 3
LCM(363,1725) = 208725
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FAQs on GCF of Fractions of 6493/363, 8265/1725
1. What is the HCF of 6493,8265?
The HCF of 6493,8265 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 6493/363, 8265/1725?
Answer: GCF of Numerators as per given numbers 6493/363, 8265/1725 is
GCF of Numerators i.e. for 6493,8265 is 1
LCM of denominators i.e. for 363,1725 is 208725.
Thus, GCF of Fractions is 1/208725.Finally, GCF of Fractions for 6493/363, 8265/1725 is 1/208725.