GCF of 7378/288, 3814/1739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7378/288, 3814/1739 i.e 2/500832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7378/288, 3814/1739.
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 7378/288,3814/1739?
Given fractions are 7378/288,3814/1739
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 7378/288,3814/1739, numerators are 7378,3814
Denominators are 288,1739
The GCF of 7378,3814 is 2 .
LCM of 288,1739 is 500832.
The greatest common factor of 7378/288,3814/1739 = [GCF of 7378,3814]/[LCM of 288,1739]= 2/500832
Therefore, the GCF of 7378/288,3814/1739 is 2/500832.
To find the highest common factor of 7378,3814, we have to find the factors of both numbers and list the highest common factor.
The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378
The factors of 3814 are 1, 2, 1907, 3814
The HCF of 7378,3814 is 2.
Lets's calculate GCF of 7378,3814
| 2 | 7378, 3814 |
| 3689, 1907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7378,3814 By Matching Biggest Common Factor Method
Now, list down the factors of 7378
:1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378
Now, list down the factors of 3814
:1,2,1907,3814
Greatest Common Factor
We found the factors 7378,3814 . The biggest common factor number is the GCF number.
So the greatest common factor 7378,3814 is 2.
Lets's calculate LCM of 288,1739
Given numbers has no common factors except 1. So, there LCM is their product i.e 500832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/500832
Therefore, the GCF of Fractions 7378/288,3814/1739 is 2/500832
Least Common Multiple of 288,1739 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 288,1739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,1739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(288,1739) x common factors =1 x 1 = 1
LCM(288,1739) = ( 288 × 1739 ) / 1
LCM(288,1739) = 500832 / 1
LCM(288,1739) = 500832
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FAQs on GCF of Fractions of 7378/288, 3814/1739
1. What is the HCF of 7378,3814?
The HCF of 7378,3814 is 2
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 7378/288, 3814/1739?
Answer: GCF of Numerators as per given numbers 7378/288, 3814/1739 is
GCF of Numerators i.e. for 7378,3814 is 2
LCM of denominators i.e. for 288,1739 is 500832.
Thus, GCF of Fractions is 2/500832.Finally, GCF of Fractions for 7378/288, 3814/1739 is 2/500832.