GCF of 4647/582, 8705/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4647/582, 8705/160 i.e 1/46560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4647/582, 8705/160.
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 4647/582,8705/160?
Given fractions are 4647/582,8705/160
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 4647/582,8705/160, numerators are 4647,8705
Denominators are 582,160
The GCF of 4647,8705 is 1 .
LCM of 582,160 is 46560.
The greatest common factor of 4647/582,8705/160 = [GCF of 4647,8705]/[LCM of 582,160]= 1/46560
Therefore, the GCF of 4647/582,8705/160 is 1/46560.
To find the highest common factor of 4647,8705, we have to find the factors of both numbers and list the highest common factor.
The factors of 4647 are 1, 3, 1549, 4647
The factors of 8705 are 1, 5, 1741, 8705
The HCF of 4647,8705 is 1.
Lets's calculate GCF of 4647,8705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4647,8705 By Matching Biggest Common Factor Method
Now, list down the factors of 4647
:1,3,1549,4647
Now, list down the factors of 8705
:1,5,1741,8705
Greatest Common Factor
We found the factors 4647,8705 . The biggest common factor number is the GCF number.
So the greatest common factor 4647,8705 is 1.
Lets's calculate LCM of 582,160
| 2 | 582, 160 |
| 291, 80 |
∴ So the LCM of the given numbers is 2 x 291 x 80 = 46560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46560
Therefore, the GCF of Fractions 4647/582,8705/160 is 1/46560
Least Common Multiple of 582,160 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 582,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,160) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,160) x common factors =2 x 1 = 2
LCM(582,160) = ( 582 × 160 ) / 2
LCM(582,160) = 93120 / 2
LCM(582,160) = 46560
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FAQs on GCF of Fractions of 4647/582, 8705/160
1. What is the HCF of 4647,8705?
The HCF of 4647,8705 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 4647/582, 8705/160?
Answer: GCF of Numerators as per given numbers 4647/582, 8705/160 is
GCF of Numerators i.e. for 4647,8705 is 1
LCM of denominators i.e. for 582,160 is 46560.
Thus, GCF of Fractions is 1/46560.Finally, GCF of Fractions for 4647/582, 8705/160 is 1/46560.