GCF of 4487/480, 9265/3235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4487/480, 9265/3235 i.e 1/310560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4487/480, 9265/3235.
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 4487/480,9265/3235?
Given fractions are 4487/480,9265/3235
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 4487/480,9265/3235, numerators are 4487,9265
Denominators are 480,3235
The GCF of 4487,9265 is 1 .
LCM of 480,3235 is 310560.
The greatest common factor of 4487/480,9265/3235 = [GCF of 4487,9265]/[LCM of 480,3235]= 1/310560
Therefore, the GCF of 4487/480,9265/3235 is 1/310560.
To find the highest common factor of 4487,9265, we have to find the factors of both numbers and list the highest common factor.
The factors of 4487 are 1, 7, 641, 4487
The factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265
The HCF of 4487,9265 is 1.
Lets's calculate GCF of 4487,9265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4487,9265 By Matching Biggest Common Factor Method
Now, list down the factors of 4487
:1,7,641,4487
Now, list down the factors of 9265
:1,5,17,85,109,545,1853,9265
Greatest Common Factor
We found the factors 4487,9265 . The biggest common factor number is the GCF number.
So the greatest common factor 4487,9265 is 1.
Lets's calculate LCM of 480,3235
| 5 | 480, 3235 |
| 96, 647 |
∴ So the LCM of the given numbers is 5 x 96 x 647 = 310560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310560
Therefore, the GCF of Fractions 4487/480,9265/3235 is 1/310560
Least Common Multiple of 480,3235 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 480,3235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,3235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(480,3235) x common factors =5 x 1 = 5
LCM(480,3235) = ( 480 × 3235 ) / 5
LCM(480,3235) = 1552800 / 5
LCM(480,3235) = 310560
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FAQs on GCF of Fractions of 4487/480, 9265/3235
1. What is the HCF of 4487,9265?
The HCF of 4487,9265 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 4487/480, 9265/3235?
Answer: GCF of Numerators as per given numbers 4487/480, 9265/3235 is
GCF of Numerators i.e. for 4487,9265 is 1
LCM of denominators i.e. for 480,3235 is 310560.
Thus, GCF of Fractions is 1/310560.Finally, GCF of Fractions for 4487/480, 9265/3235 is 1/310560.