GCF of 7338/407, 3412/9923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7338/407, 3412/9923 i.e 2/4038661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7338/407, 3412/9923.
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 7338/407,3412/9923?
Given fractions are 7338/407,3412/9923
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 7338/407,3412/9923, numerators are 7338,3412
Denominators are 407,9923
The GCF of 7338,3412 is 2 .
LCM of 407,9923 is 4038661.
The greatest common factor of 7338/407,3412/9923 = [GCF of 7338,3412]/[LCM of 407,9923]= 2/4038661
Therefore, the GCF of 7338/407,3412/9923 is 2/4038661.
To find the highest common factor of 7338,3412, we have to find the factors of both numbers and list the highest common factor.
The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338
The factors of 3412 are 1, 2, 4, 853, 1706, 3412
The HCF of 7338,3412 is 2.
Lets's calculate GCF of 7338,3412
| 2 | 7338, 3412 |
| 3669, 1706 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7338,3412 By Matching Biggest Common Factor Method
Now, list down the factors of 7338
:1,2,3,6,1223,2446,3669,7338
Now, list down the factors of 3412
:1,2,4,853,1706,3412
Greatest Common Factor
We found the factors 7338,3412 . The biggest common factor number is the GCF number.
So the greatest common factor 7338,3412 is 2.
Lets's calculate LCM of 407,9923
Given numbers has no common factors except 1. So, there LCM is their product i.e 4038661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4038661
Therefore, the GCF of Fractions 7338/407,3412/9923 is 2/4038661
Least Common Multiple of 407,9923 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 407,9923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,9923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,9923) x common factors =1 x 1 = 1
LCM(407,9923) = ( 407 × 9923 ) / 1
LCM(407,9923) = 4038661 / 1
LCM(407,9923) = 4038661
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FAQs on GCF of Fractions of 7338/407, 3412/9923
1. What is the HCF of 7338,3412?
The HCF of 7338,3412 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 7338/407, 3412/9923?
Answer: GCF of Numerators as per given numbers 7338/407, 3412/9923 is
GCF of Numerators i.e. for 7338,3412 is 2
LCM of denominators i.e. for 407,9923 is 4038661.
Thus, GCF of Fractions is 2/4038661.Finally, GCF of Fractions for 7338/407, 3412/9923 is 2/4038661.