GCF of 2397/394, 4092/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2397/394, 4092/304 i.e 3/59888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2397/394, 4092/304.
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 2397/394,4092/304?
Given fractions are 2397/394,4092/304
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 2397/394,4092/304, numerators are 2397,4092
Denominators are 394,304
The GCF of 2397,4092 is 3 .
LCM of 394,304 is 59888.
The greatest common factor of 2397/394,4092/304 = [GCF of 2397,4092]/[LCM of 394,304]= 3/59888
Therefore, the GCF of 2397/394,4092/304 is 3/59888.
To find the highest common factor of 2397,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 2397 are 1, 3, 17, 47, 51, 141, 799, 2397
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The HCF of 2397,4092 is 3.
Lets's calculate GCF of 2397,4092
| 3 | 2397, 4092 |
| 799, 1364 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2397,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 2397
:1,3,17,47,51,141,799,2397
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 2397,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 2397,4092 is 3.
Lets's calculate LCM of 394,304
| 2 | 394, 304 |
| 197, 152 |
∴ So the LCM of the given numbers is 2 x 197 x 152 = 59888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59888
Therefore, the GCF of Fractions 2397/394,4092/304 is 3/59888
Least Common Multiple of 394,304 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 394,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,304) x common factors =2 x 1 = 2
LCM(394,304) = ( 394 × 304 ) / 2
LCM(394,304) = 119776 / 2
LCM(394,304) = 59888
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FAQs on GCF of Fractions of 2397/394, 4092/304
1. What is the HCF of 2397,4092?
The HCF of 2397,4092 is 3
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 2397/394, 4092/304?
Answer: GCF of Numerators as per given numbers 2397/394, 4092/304 is
GCF of Numerators i.e. for 2397,4092 is 3
LCM of denominators i.e. for 394,304 is 59888.
Thus, GCF of Fractions is 3/59888.Finally, GCF of Fractions for 2397/394, 4092/304 is 3/59888.