GCF of 7996/557, 4994/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7996/557, 4994/413 i.e 2/230041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7996/557, 4994/413.
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 7996/557,4994/413?
Given fractions are 7996/557,4994/413
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 7996/557,4994/413, numerators are 7996,4994
Denominators are 557,413
The GCF of 7996,4994 is 2 .
LCM of 557,413 is 230041.
The greatest common factor of 7996/557,4994/413 = [GCF of 7996,4994]/[LCM of 557,413]= 2/230041
Therefore, the GCF of 7996/557,4994/413 is 2/230041.
To find the highest common factor of 7996,4994, we have to find the factors of both numbers and list the highest common factor.
The factors of 7996 are 1, 2, 4, 1999, 3998, 7996
The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994
The HCF of 7996,4994 is 2.
Lets's calculate GCF of 7996,4994
| 2 | 7996, 4994 |
| 3998, 2497 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7996,4994 By Matching Biggest Common Factor Method
Now, list down the factors of 7996
:1,2,4,1999,3998,7996
Now, list down the factors of 4994
:1,2,11,22,227,454,2497,4994
Greatest Common Factor
We found the factors 7996,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 7996,4994 is 2.
Lets's calculate LCM of 557,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 230041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230041
Therefore, the GCF of Fractions 7996/557,4994/413 is 2/230041
Least Common Multiple of 557,413 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 557,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,413) x common factors =1 x 1 = 1
LCM(557,413) = ( 557 × 413 ) / 1
LCM(557,413) = 230041 / 1
LCM(557,413) = 230041
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FAQs on GCF of Fractions of 7996/557, 4994/413
1. What is the HCF of 7996,4994?
The HCF of 7996,4994 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 7996/557, 4994/413?
Answer: GCF of Numerators as per given numbers 7996/557, 4994/413 is
GCF of Numerators i.e. for 7996,4994 is 2
LCM of denominators i.e. for 557,413 is 230041.
Thus, GCF of Fractions is 2/230041.Finally, GCF of Fractions for 7996/557, 4994/413 is 2/230041.