GCF of 304/27, 832/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 304/27, 832/396 i.e 16/1188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 304/27, 832/396.
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 304/27,832/396?
Given fractions are 304/27,832/396
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 304/27,832/396, numerators are 304,832
Denominators are 27,396
The GCF of 304,832 is 16 .
LCM of 27,396 is 1188.
The greatest common factor of 304/27,832/396 = [GCF of 304,832]/[LCM of 27,396]= 16/1188
Therefore, the GCF of 304/27,832/396 is 16/1188.
To find the highest common factor of 304,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 304,832 is 16.
Lets's calculate GCF of 304,832
| 2 | 304, 832 |
| 2 | 152, 416 |
| 2 | 76, 208 |
| 2 | 38, 104 |
| 19, 52 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 304,832 By Matching Biggest Common Factor Method
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 304,832 . The biggest common factor number is the GCF number.
So the greatest common factor 304,832 is 16.
Lets's calculate LCM of 27,396
| 3 | 27, 396 |
| 3 | 9, 132 |
| 3, 44 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 44 = 1188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1188
Therefore, the GCF of Fractions 304/27,832/396 is 16/1188
Least Common Multiple of 27,396 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 27,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,396) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,396) x common factors =9 x 1 = 9
LCM(27,396) = ( 27 × 396 ) / 9
LCM(27,396) = 10692 / 9
LCM(27,396) = 1188
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FAQs on GCF of Fractions of 304/27, 832/396
1. What is the HCF of 304,832?
The HCF of 304,832 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 304/27, 832/396?
Answer: GCF of Numerators as per given numbers 304/27, 832/396 is
GCF of Numerators i.e. for 304,832 is 16
LCM of denominators i.e. for 27,396 is 1188.
Thus, GCF of Fractions is 16/1188.Finally, GCF of Fractions for 304/27, 832/396 is 16/1188.