GCF of 1338/304, 1115/3944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1338/304, 1115/3944 i.e 223/149872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1338/304, 1115/3944.
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 1338/304,1115/3944?
Given fractions are 1338/304,1115/3944
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 1338/304,1115/3944, numerators are 1338,1115
Denominators are 304,3944
The GCF of 1338,1115 is 223 .
LCM of 304,3944 is 149872.
The greatest common factor of 1338/304,1115/3944 = [GCF of 1338,1115]/[LCM of 304,3944]= 223/149872
Therefore, the GCF of 1338/304,1115/3944 is 223/149872.
To find the highest common factor of 1338,1115, we have to find the factors of both numbers and list the highest common factor.
The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338
The factors of 1115 are 1, 5, 223, 1115
The HCF of 1338,1115 is 223.
Lets's calculate GCF of 1338,1115
| 223 | 1338, 1115 |
| 6, 5 |
∴ So the GCF of the given numbers is 223 = 223
Greatest Common Factor of 1338,1115 By Matching Biggest Common Factor Method
Now, list down the factors of 1338
:1,2,3,6,223,446,669,1338
Now, list down the factors of 1115
:1,5,223,1115
Greatest Common Factor
We found the factors 1338,1115 . The biggest common factor number is the GCF number.
So the greatest common factor 1338,1115 is 223.
Lets's calculate LCM of 304,3944
| 2 | 304, 3944 |
| 2 | 152, 1972 |
| 2 | 76, 986 |
| 38, 493 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 493 = 149872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 223/149872
Therefore, the GCF of Fractions 1338/304,1115/3944 is 223/149872
Least Common Multiple of 304,3944 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 304,3944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,3944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(304,3944) x common factors =8 x 1 = 8
LCM(304,3944) = ( 304 × 3944 ) / 8
LCM(304,3944) = 1198976 / 8
LCM(304,3944) = 149872
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FAQs on GCF of Fractions of 1338/304, 1115/3944
1. What is the HCF of 1338,1115?
The HCF of 1338,1115 is 223
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 1338/304, 1115/3944?
Answer: GCF of Numerators as per given numbers 1338/304, 1115/3944 is
GCF of Numerators i.e. for 1338,1115 is 223
LCM of denominators i.e. for 304,3944 is 149872.
Thus, GCF of Fractions is 223/149872.Finally, GCF of Fractions for 1338/304, 1115/3944 is 223/149872.