GCF of 3958/335, 3378/9213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3958/335, 3378/9213 i.e 2/3086355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3958/335, 3378/9213.
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 3958/335,3378/9213?
Given fractions are 3958/335,3378/9213
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 3958/335,3378/9213, numerators are 3958,3378
Denominators are 335,9213
The GCF of 3958,3378 is 2 .
LCM of 335,9213 is 3086355.
The greatest common factor of 3958/335,3378/9213 = [GCF of 3958,3378]/[LCM of 335,9213]= 2/3086355
Therefore, the GCF of 3958/335,3378/9213 is 2/3086355.
To find the highest common factor of 3958,3378, we have to find the factors of both numbers and list the highest common factor.
The factors of 3958 are 1, 2, 1979, 3958
The factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378
The HCF of 3958,3378 is 2.
Lets's calculate GCF of 3958,3378
| 2 | 3958, 3378 |
| 1979, 1689 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3958,3378 By Matching Biggest Common Factor Method
Now, list down the factors of 3958
:1,2,1979,3958
Now, list down the factors of 3378
:1,2,3,6,563,1126,1689,3378
Greatest Common Factor
We found the factors 3958,3378 . The biggest common factor number is the GCF number.
So the greatest common factor 3958,3378 is 2.
Lets's calculate LCM of 335,9213
Given numbers has no common factors except 1. So, there LCM is their product i.e 3086355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3086355
Therefore, the GCF of Fractions 3958/335,3378/9213 is 2/3086355
Least Common Multiple of 335,9213 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 335,9213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,9213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,9213) x common factors =1 x 1 = 1
LCM(335,9213) = ( 335 × 9213 ) / 1
LCM(335,9213) = 3086355 / 1
LCM(335,9213) = 3086355
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FAQs on GCF of Fractions of 3958/335, 3378/9213
1. What is the HCF of 3958,3378?
The HCF of 3958,3378 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 3958/335, 3378/9213?
Answer: GCF of Numerators as per given numbers 3958/335, 3378/9213 is
GCF of Numerators i.e. for 3958,3378 is 2
LCM of denominators i.e. for 335,9213 is 3086355.
Thus, GCF of Fractions is 2/3086355.Finally, GCF of Fractions for 3958/335, 3378/9213 is 2/3086355.