GCF of 5568/320, 8144/6840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5568/320, 8144/6840 i.e 16/54720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5568/320, 8144/6840.
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 5568/320,8144/6840?
Given fractions are 5568/320,8144/6840
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 5568/320,8144/6840, numerators are 5568,8144
Denominators are 320,6840
The GCF of 5568,8144 is 16 .
LCM of 320,6840 is 54720.
The greatest common factor of 5568/320,8144/6840 = [GCF of 5568,8144]/[LCM of 320,6840]= 16/54720
Therefore, the GCF of 5568/320,8144/6840 is 16/54720.
To find the highest common factor of 5568,8144, we have to find the factors of both numbers and list the highest common factor.
The factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568
The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The HCF of 5568,8144 is 16.
Lets's calculate GCF of 5568,8144
| 2 | 5568, 8144 |
| 2 | 2784, 4072 |
| 2 | 1392, 2036 |
| 2 | 696, 1018 |
| 348, 509 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5568,8144 By Matching Biggest Common Factor Method
Now, list down the factors of 5568
:1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Greatest Common Factor
We found the factors 5568,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 5568,8144 is 16.
Lets's calculate LCM of 320,6840
| 2 | 320, 6840 |
| 2 | 160, 3420 |
| 2 | 80, 1710 |
| 5 | 40, 855 |
| 8, 171 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 171 = 54720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/54720
Therefore, the GCF of Fractions 5568/320,8144/6840 is 16/54720
Least Common Multiple of 320,6840 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 320,6840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,6840) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(320,6840) x common factors =40 x 1 = 40
LCM(320,6840) = ( 320 × 6840 ) / 40
LCM(320,6840) = 2188800 / 40
LCM(320,6840) = 54720
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FAQs on GCF of Fractions of 5568/320, 8144/6840
1. What is the HCF of 5568,8144?
The HCF of 5568,8144 is 16
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 5568/320, 8144/6840?
Answer: GCF of Numerators as per given numbers 5568/320, 8144/6840 is
GCF of Numerators i.e. for 5568,8144 is 16
LCM of denominators i.e. for 320,6840 is 54720.
Thus, GCF of Fractions is 16/54720.Finally, GCF of Fractions for 5568/320, 8144/6840 is 16/54720.