GCF of 3945/208, 9438/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3945/208, 9438/324 i.e 3/16848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3945/208, 9438/324.
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 3945/208,9438/324?
Given fractions are 3945/208,9438/324
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 3945/208,9438/324, numerators are 3945,9438
Denominators are 208,324
The GCF of 3945,9438 is 3 .
LCM of 208,324 is 16848.
The greatest common factor of 3945/208,9438/324 = [GCF of 3945,9438]/[LCM of 208,324]= 3/16848
Therefore, the GCF of 3945/208,9438/324 is 3/16848.
To find the highest common factor of 3945,9438, we have to find the factors of both numbers and list the highest common factor.
The factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945
The factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
The HCF of 3945,9438 is 3.
Lets's calculate GCF of 3945,9438
| 3 | 3945, 9438 |
| 1315, 3146 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3945,9438 By Matching Biggest Common Factor Method
Now, list down the factors of 3945
:1,3,5,15,263,789,1315,3945
Now, list down the factors of 9438
:1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438
Greatest Common Factor
We found the factors 3945,9438 . The biggest common factor number is the GCF number.
So the greatest common factor 3945,9438 is 3.
Lets's calculate LCM of 208,324
| 2 | 208, 324 |
| 2 | 104, 162 |
| 52, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 52 x 81 = 16848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16848
Therefore, the GCF of Fractions 3945/208,9438/324 is 3/16848
Least Common Multiple of 208,324 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 208,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(208,324) x common factors =4 x 1 = 4
LCM(208,324) = ( 208 × 324 ) / 4
LCM(208,324) = 67392 / 4
LCM(208,324) = 16848
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FAQs on GCF of Fractions of 3945/208, 9438/324
1. What is the HCF of 3945,9438?
The HCF of 3945,9438 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 3945/208, 9438/324?
Answer: GCF of Numerators as per given numbers 3945/208, 9438/324 is
GCF of Numerators i.e. for 3945,9438 is 3
LCM of denominators i.e. for 208,324 is 16848.
Thus, GCF of Fractions is 3/16848.Finally, GCF of Fractions for 3945/208, 9438/324 is 3/16848.