GCF of 4826/164, 3998/4844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4826/164, 3998/4844 i.e 2/198604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4826/164, 3998/4844.
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 4826/164,3998/4844?
Given fractions are 4826/164,3998/4844
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 4826/164,3998/4844, numerators are 4826,3998
Denominators are 164,4844
The GCF of 4826,3998 is 2 .
LCM of 164,4844 is 198604.
The greatest common factor of 4826/164,3998/4844 = [GCF of 4826,3998]/[LCM of 164,4844]= 2/198604
Therefore, the GCF of 4826/164,3998/4844 is 2/198604.
To find the highest common factor of 4826,3998, we have to find the factors of both numbers and list the highest common factor.
The factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826
The factors of 3998 are 1, 2, 1999, 3998
The HCF of 4826,3998 is 2.
Lets's calculate GCF of 4826,3998
| 2 | 4826, 3998 |
| 2413, 1999 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4826,3998 By Matching Biggest Common Factor Method
Now, list down the factors of 4826
:1,2,19,38,127,254,2413,4826
Now, list down the factors of 3998
:1,2,1999,3998
Greatest Common Factor
We found the factors 4826,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 4826,3998 is 2.
Lets's calculate LCM of 164,4844
| 2 | 164, 4844 |
| 2 | 82, 2422 |
| 41, 1211 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 1211 = 198604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/198604
Therefore, the GCF of Fractions 4826/164,3998/4844 is 2/198604
Least Common Multiple of 164,4844 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 164,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,4844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,4844) x common factors =4 x 1 = 4
LCM(164,4844) = ( 164 × 4844 ) / 4
LCM(164,4844) = 794416 / 4
LCM(164,4844) = 198604
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FAQs on GCF of Fractions of 4826/164, 3998/4844
1. What is the HCF of 4826,3998?
The HCF of 4826,3998 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 4826/164, 3998/4844?
Answer: GCF of Numerators as per given numbers 4826/164, 3998/4844 is
GCF of Numerators i.e. for 4826,3998 is 2
LCM of denominators i.e. for 164,4844 is 198604.
Thus, GCF of Fractions is 2/198604.Finally, GCF of Fractions for 4826/164, 3998/4844 is 2/198604.