GCF of 2498/321, 9838/8981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2498/321, 9838/8981 i.e 2/2882901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2498/321, 9838/8981.
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 2498/321,9838/8981?
Given fractions are 2498/321,9838/8981
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 2498/321,9838/8981, numerators are 2498,9838
Denominators are 321,8981
The GCF of 2498,9838 is 2 .
LCM of 321,8981 is 2882901.
The greatest common factor of 2498/321,9838/8981 = [GCF of 2498,9838]/[LCM of 321,8981]= 2/2882901
Therefore, the GCF of 2498/321,9838/8981 is 2/2882901.
To find the highest common factor of 2498,9838, we have to find the factors of both numbers and list the highest common factor.
The factors of 2498 are 1, 2, 1249, 2498
The factors of 9838 are 1, 2, 4919, 9838
The HCF of 2498,9838 is 2.
Lets's calculate GCF of 2498,9838
| 2 | 2498, 9838 |
| 1249, 4919 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2498,9838 By Matching Biggest Common Factor Method
Now, list down the factors of 2498
:1,2,1249,2498
Now, list down the factors of 9838
:1,2,4919,9838
Greatest Common Factor
We found the factors 2498,9838 . The biggest common factor number is the GCF number.
So the greatest common factor 2498,9838 is 2.
Lets's calculate LCM of 321,8981
Given numbers has no common factors except 1. So, there LCM is their product i.e 2882901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2882901
Therefore, the GCF of Fractions 2498/321,9838/8981 is 2/2882901
Least Common Multiple of 321,8981 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 321,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,8981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,8981) x common factors =1 x 1 = 1
LCM(321,8981) = ( 321 × 8981 ) / 1
LCM(321,8981) = 2882901 / 1
LCM(321,8981) = 2882901
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FAQs on GCF of Fractions of 2498/321, 9838/8981
1. What is the HCF of 2498,9838?
The HCF of 2498,9838 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 2498/321, 9838/8981?
Answer: GCF of Numerators as per given numbers 2498/321, 9838/8981 is
GCF of Numerators i.e. for 2498,9838 is 2
LCM of denominators i.e. for 321,8981 is 2882901.
Thus, GCF of Fractions is 2/2882901.Finally, GCF of Fractions for 2498/321, 9838/8981 is 2/2882901.