GCF of 1463/403, 9585/4288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1463/403, 9585/4288 i.e 1/1728064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1463/403, 9585/4288.
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 1463/403,9585/4288?
Given fractions are 1463/403,9585/4288
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 1463/403,9585/4288, numerators are 1463,9585
Denominators are 403,4288
The GCF of 1463,9585 is 1 .
LCM of 403,4288 is 1728064.
The greatest common factor of 1463/403,9585/4288 = [GCF of 1463,9585]/[LCM of 403,4288]= 1/1728064
Therefore, the GCF of 1463/403,9585/4288 is 1/1728064.
To find the highest common factor of 1463,9585, we have to find the factors of both numbers and list the highest common factor.
The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463
The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The HCF of 1463,9585 is 1.
Lets's calculate GCF of 1463,9585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1463,9585 By Matching Biggest Common Factor Method
Now, list down the factors of 1463
:1,7,11,19,77,133,209,1463
Now, list down the factors of 9585
:1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Greatest Common Factor
We found the factors 1463,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,9585 is 1.
Lets's calculate LCM of 403,4288
Given numbers has no common factors except 1. So, there LCM is their product i.e 1728064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1728064
Therefore, the GCF of Fractions 1463/403,9585/4288 is 1/1728064
Least Common Multiple of 403,4288 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 403,4288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,4288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,4288) x common factors =1 x 1 = 1
LCM(403,4288) = ( 403 × 4288 ) / 1
LCM(403,4288) = 1728064 / 1
LCM(403,4288) = 1728064
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FAQs on GCF of Fractions of 1463/403, 9585/4288
1. What is the HCF of 1463,9585?
The HCF of 1463,9585 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 1463/403, 9585/4288?
Answer: GCF of Numerators as per given numbers 1463/403, 9585/4288 is
GCF of Numerators i.e. for 1463,9585 is 1
LCM of denominators i.e. for 403,4288 is 1728064.
Thus, GCF of Fractions is 1/1728064.Finally, GCF of Fractions for 1463/403, 9585/4288 is 1/1728064.