GCF of 9568/888, 6198/5439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9568/888, 6198/5439 i.e 2/43512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9568/888, 6198/5439.
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 9568/888,6198/5439?
Given fractions are 9568/888,6198/5439
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 9568/888,6198/5439, numerators are 9568,6198
Denominators are 888,5439
The GCF of 9568,6198 is 2 .
LCM of 888,5439 is 43512.
The greatest common factor of 9568/888,6198/5439 = [GCF of 9568,6198]/[LCM of 888,5439]= 2/43512
Therefore, the GCF of 9568/888,6198/5439 is 2/43512.
To find the highest common factor of 9568,6198, we have to find the factors of both numbers and list the highest common factor.
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The factors of 6198 are 1, 2, 3, 6, 1033, 2066, 3099, 6198
The HCF of 9568,6198 is 2.
Lets's calculate GCF of 9568,6198
| 2 | 9568, 6198 |
| 4784, 3099 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9568,6198 By Matching Biggest Common Factor Method
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Now, list down the factors of 6198
:1,2,3,6,1033,2066,3099,6198
Greatest Common Factor
We found the factors 9568,6198 . The biggest common factor number is the GCF number.
So the greatest common factor 9568,6198 is 2.
Lets's calculate LCM of 888,5439
| 3 | 888, 5439 |
| 37 | 296, 1813 |
| 8, 49 |
∴ So the LCM of the given numbers is 3 x 37 x 8 x 49 = 43512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43512
Therefore, the GCF of Fractions 9568/888,6198/5439 is 2/43512
Least Common Multiple of 888,5439 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 888,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,5439) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(888,5439) x common factors =111 x 1 = 111
LCM(888,5439) = ( 888 × 5439 ) / 111
LCM(888,5439) = 4829832 / 111
LCM(888,5439) = 43512
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FAQs on GCF of Fractions of 9568/888, 6198/5439
1. What is the HCF of 9568,6198?
The HCF of 9568,6198 is 2
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 9568/888, 6198/5439?
Answer: GCF of Numerators as per given numbers 9568/888, 6198/5439 is
GCF of Numerators i.e. for 9568,6198 is 2
LCM of denominators i.e. for 888,5439 is 43512.
Thus, GCF of Fractions is 2/43512.Finally, GCF of Fractions for 9568/888, 6198/5439 is 2/43512.