GCF of 8663/220, 2717/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8663/220, 2717/405 i.e 1/17820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8663/220, 2717/405.
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 8663/220,2717/405?
Given fractions are 8663/220,2717/405
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 8663/220,2717/405, numerators are 8663,2717
Denominators are 220,405
The GCF of 8663,2717 is 1 .
LCM of 220,405 is 17820.
The greatest common factor of 8663/220,2717/405 = [GCF of 8663,2717]/[LCM of 220,405]= 1/17820
Therefore, the GCF of 8663/220,2717/405 is 1/17820.
To find the highest common factor of 8663,2717, we have to find the factors of both numbers and list the highest common factor.
The factors of 8663 are 1, 8663
The factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717
The HCF of 8663,2717 is 1.
Lets's calculate GCF of 8663,2717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8663,2717 By Matching Biggest Common Factor Method
Now, list down the factors of 8663
:1,8663
Now, list down the factors of 2717
:1,11,13,19,143,209,247,2717
Greatest Common Factor
We found the factors 8663,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,2717 is 1.
Lets's calculate LCM of 220,405
| 5 | 220, 405 |
| 44, 81 |
∴ So the LCM of the given numbers is 5 x 44 x 81 = 17820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17820
Therefore, the GCF of Fractions 8663/220,2717/405 is 1/17820
Least Common Multiple of 220,405 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 220,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(220,405) x common factors =5 x 1 = 5
LCM(220,405) = ( 220 × 405 ) / 5
LCM(220,405) = 89100 / 5
LCM(220,405) = 17820
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8663/220, 2717/405
1. What is the HCF of 8663,2717?
The HCF of 8663,2717 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 8663/220, 2717/405?
Answer: GCF of Numerators as per given numbers 8663/220, 2717/405 is
GCF of Numerators i.e. for 8663,2717 is 1
LCM of denominators i.e. for 220,405 is 17820.
Thus, GCF of Fractions is 1/17820.Finally, GCF of Fractions for 8663/220, 2717/405 is 1/17820.