GCF of 8663/620, 5704/3608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8663/620, 5704/3608 i.e 1/559240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8663/620, 5704/3608.
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 8663/620,5704/3608?
Given fractions are 8663/620,5704/3608
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 8663/620,5704/3608, numerators are 8663,5704
Denominators are 620,3608
The GCF of 8663,5704 is 1 .
LCM of 620,3608 is 559240.
The greatest common factor of 8663/620,5704/3608 = [GCF of 8663,5704]/[LCM of 620,3608]= 1/559240
Therefore, the GCF of 8663/620,5704/3608 is 1/559240.
To find the highest common factor of 8663,5704, 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 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
The HCF of 8663,5704 is 1.
Lets's calculate GCF of 8663,5704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8663,5704 By Matching Biggest Common Factor Method
Now, list down the factors of 8663
:1,8663
Now, list down the factors of 5704
:1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Greatest Common Factor
We found the factors 8663,5704 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,5704 is 1.
Lets's calculate LCM of 620,3608
| 2 | 620, 3608 |
| 2 | 310, 1804 |
| 155, 902 |
∴ So the LCM of the given numbers is 2 x 2 x 155 x 902 = 559240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559240
Therefore, the GCF of Fractions 8663/620,5704/3608 is 1/559240
Least Common Multiple of 620,3608 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 620,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,3608) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(620,3608) x common factors =4 x 1 = 4
LCM(620,3608) = ( 620 × 3608 ) / 4
LCM(620,3608) = 2236960 / 4
LCM(620,3608) = 559240
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FAQs on GCF of Fractions of 8663/620, 5704/3608
1. What is the HCF of 8663,5704?
The HCF of 8663,5704 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 8663/620, 5704/3608?
Answer: GCF of Numerators as per given numbers 8663/620, 5704/3608 is
GCF of Numerators i.e. for 8663,5704 is 1
LCM of denominators i.e. for 620,3608 is 559240.
Thus, GCF of Fractions is 1/559240.Finally, GCF of Fractions for 8663/620, 5704/3608 is 1/559240.