GCF of 8533/720, 2717/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8533/720, 2717/360 i.e 1/720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8533/720, 2717/360.
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 8533/720,2717/360?
Given fractions are 8533/720,2717/360
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 8533/720,2717/360, numerators are 8533,2717
Denominators are 720,360
The GCF of 8533,2717 is 1 .
LCM of 720,360 is 720.
The greatest common factor of 8533/720,2717/360 = [GCF of 8533,2717]/[LCM of 720,360]= 1/720
Therefore, the GCF of 8533/720,2717/360 is 1/720.
To find the highest common factor of 8533,2717, we have to find the factors of both numbers and list the highest common factor.
The factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533
The factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717
The HCF of 8533,2717 is 1.
Lets's calculate GCF of 8533,2717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8533,2717 By Matching Biggest Common Factor Method
Now, list down the factors of 8533
:1,7,23,53,161,371,1219,8533
Now, list down the factors of 2717
:1,11,13,19,143,209,247,2717
Greatest Common Factor
We found the factors 8533,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 8533,2717 is 1.
Lets's calculate LCM of 720,360
| 2 | 720, 360 |
| 2 | 360, 180 |
| 2 | 90, 180 |
| 3 | 45, 90 |
| 3 | 15, 30 |
| 5 | 5, 10 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 1 x 2 = 720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720
Therefore, the GCF of Fractions 8533/720,2717/360 is 1/720
Least Common Multiple of 720,360 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 720,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,360) = 360
common factors(in case of two or more numbers have common factors) = 1
GCF(720,360) x common factors =360 x 1 = 360
LCM(720,360) = ( 720 × 360 ) / 360
LCM(720,360) = 259200 / 360
LCM(720,360) = 720
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FAQs on GCF of Fractions of 8533/720, 2717/360
1. What is the HCF of 8533,2717?
The HCF of 8533,2717 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 8533/720, 2717/360?
Answer: GCF of Numerators as per given numbers 8533/720, 2717/360 is
GCF of Numerators i.e. for 8533,2717 is 1
LCM of denominators i.e. for 720,360 is 720.
Thus, GCF of Fractions is 1/720.Finally, GCF of Fractions for 8533/720, 2717/360 is 1/720.