GCF of 304/78, 4218/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 304/78, 4218/241 i.e 38/18798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 304/78, 4218/241.
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 304/78,4218/241?
Given fractions are 304/78,4218/241
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 304/78,4218/241, numerators are 304,4218
Denominators are 78,241
The GCF of 304,4218 is 38 .
LCM of 78,241 is 18798.
The greatest common factor of 304/78,4218/241 = [GCF of 304,4218]/[LCM of 78,241]= 38/18798
Therefore, the GCF of 304/78,4218/241 is 38/18798.
To find the highest common factor of 304,4218, 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 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
The HCF of 304,4218 is 38.
Lets's calculate GCF of 304,4218
| 2 | 304, 4218 |
| 19 | 152, 2109 |
| 8, 111 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 304,4218 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 4218
:1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Greatest Common Factor
We found the factors 304,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 304,4218 is 38.
Lets's calculate LCM of 78,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 18798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/18798
Therefore, the GCF of Fractions 304/78,4218/241 is 38/18798
Least Common Multiple of 78,241 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 78,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,241) x common factors =1 x 1 = 1
LCM(78,241) = ( 78 × 241 ) / 1
LCM(78,241) = 18798 / 1
LCM(78,241) = 18798
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FAQs on GCF of Fractions of 304/78, 4218/241
1. What is the HCF of 304,4218?
The HCF of 304,4218 is 38
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 304/78, 4218/241?
Answer: GCF of Numerators as per given numbers 304/78, 4218/241 is
GCF of Numerators i.e. for 304,4218 is 38
LCM of denominators i.e. for 78,241 is 18798.
Thus, GCF of Fractions is 38/18798.Finally, GCF of Fractions for 304/78, 4218/241 is 38/18798.