GCF of 3398/413, 1006/9430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3398/413, 1006/9430 i.e 2/3894590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3398/413, 1006/9430.
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 3398/413,1006/9430?
Given fractions are 3398/413,1006/9430
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 3398/413,1006/9430, numerators are 3398,1006
Denominators are 413,9430
The GCF of 3398,1006 is 2 .
LCM of 413,9430 is 3894590.
The greatest common factor of 3398/413,1006/9430 = [GCF of 3398,1006]/[LCM of 413,9430]= 2/3894590
Therefore, the GCF of 3398/413,1006/9430 is 2/3894590.
To find the highest common factor of 3398,1006, we have to find the factors of both numbers and list the highest common factor.
The factors of 3398 are 1, 2, 1699, 3398
The factors of 1006 are 1, 2, 503, 1006
The HCF of 3398,1006 is 2.
Lets's calculate GCF of 3398,1006
| 2 | 3398, 1006 |
| 1699, 503 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3398,1006 By Matching Biggest Common Factor Method
Now, list down the factors of 3398
:1,2,1699,3398
Now, list down the factors of 1006
:1,2,503,1006
Greatest Common Factor
We found the factors 3398,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 3398,1006 is 2.
Lets's calculate LCM of 413,9430
Given numbers has no common factors except 1. So, there LCM is their product i.e 3894590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3894590
Therefore, the GCF of Fractions 3398/413,1006/9430 is 2/3894590
Least Common Multiple of 413,9430 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 413,9430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,9430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,9430) x common factors =1 x 1 = 1
LCM(413,9430) = ( 413 × 9430 ) / 1
LCM(413,9430) = 3894590 / 1
LCM(413,9430) = 3894590
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FAQs on GCF of Fractions of 3398/413, 1006/9430
1. What is the HCF of 3398,1006?
The HCF of 3398,1006 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 3398/413, 1006/9430?
Answer: GCF of Numerators as per given numbers 3398/413, 1006/9430 is
GCF of Numerators i.e. for 3398,1006 is 2
LCM of denominators i.e. for 413,9430 is 3894590.
Thus, GCF of Fractions is 2/3894590.Finally, GCF of Fractions for 3398/413, 1006/9430 is 2/3894590.