GCF of 3059/993, 9568/392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3059/993, 9568/392 i.e 23/389256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3059/993, 9568/392.
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 3059/993,9568/392?
Given fractions are 3059/993,9568/392
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 3059/993,9568/392, numerators are 3059,9568
Denominators are 993,392
The GCF of 3059,9568 is 23 .
LCM of 993,392 is 389256.
The greatest common factor of 3059/993,9568/392 = [GCF of 3059,9568]/[LCM of 993,392]= 23/389256
Therefore, the GCF of 3059/993,9568/392 is 23/389256.
To find the highest common factor of 3059,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059
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 HCF of 3059,9568 is 23.
Lets's calculate GCF of 3059,9568
| 23 | 3059, 9568 |
| 133, 416 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3059,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 3059
:1,7,19,23,133,161,437,3059
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
Greatest Common Factor
We found the factors 3059,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 3059,9568 is 23.
Lets's calculate LCM of 993,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 389256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/389256
Therefore, the GCF of Fractions 3059/993,9568/392 is 23/389256
Least Common Multiple of 993,392 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 993,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,392) x common factors =1 x 1 = 1
LCM(993,392) = ( 993 × 392 ) / 1
LCM(993,392) = 389256 / 1
LCM(993,392) = 389256
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FAQs on GCF of Fractions of 3059/993, 9568/392
1. What is the HCF of 3059,9568?
The HCF of 3059,9568 is 23
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 3059/993, 9568/392?
Answer: GCF of Numerators as per given numbers 3059/993, 9568/392 is
GCF of Numerators i.e. for 3059,9568 is 23
LCM of denominators i.e. for 993,392 is 389256.
Thus, GCF of Fractions is 23/389256.Finally, GCF of Fractions for 3059/993, 9568/392 is 23/389256.