GCF of 2098/172, 9844/2021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2098/172, 9844/2021 i.e 2/8084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2098/172, 9844/2021.
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 2098/172,9844/2021?
Given fractions are 2098/172,9844/2021
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 2098/172,9844/2021, numerators are 2098,9844
Denominators are 172,2021
The GCF of 2098,9844 is 2 .
LCM of 172,2021 is 8084.
The greatest common factor of 2098/172,9844/2021 = [GCF of 2098,9844]/[LCM of 172,2021]= 2/8084
Therefore, the GCF of 2098/172,9844/2021 is 2/8084.
To find the highest common factor of 2098,9844, we have to find the factors of both numbers and list the highest common factor.
The factors of 2098 are 1, 2, 1049, 2098
The factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844
The HCF of 2098,9844 is 2.
Lets's calculate GCF of 2098,9844
| 2 | 2098, 9844 |
| 1049, 4922 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2098,9844 By Matching Biggest Common Factor Method
Now, list down the factors of 2098
:1,2,1049,2098
Now, list down the factors of 9844
:1,2,4,23,46,92,107,214,428,2461,4922,9844
Greatest Common Factor
We found the factors 2098,9844 . The biggest common factor number is the GCF number.
So the greatest common factor 2098,9844 is 2.
Lets's calculate LCM of 172,2021
| 43 | 172, 2021 |
| 4, 47 |
∴ So the LCM of the given numbers is 43 x 4 x 47 = 8084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8084
Therefore, the GCF of Fractions 2098/172,9844/2021 is 2/8084
Least Common Multiple of 172,2021 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 172,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,2021) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(172,2021) x common factors =43 x 1 = 43
LCM(172,2021) = ( 172 × 2021 ) / 43
LCM(172,2021) = 347612 / 43
LCM(172,2021) = 8084
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FAQs on GCF of Fractions of 2098/172, 9844/2021
1. What is the HCF of 2098,9844?
The HCF of 2098,9844 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 2098/172, 9844/2021?
Answer: GCF of Numerators as per given numbers 2098/172, 9844/2021 is
GCF of Numerators i.e. for 2098,9844 is 2
LCM of denominators i.e. for 172,2021 is 8084.
Thus, GCF of Fractions is 2/8084.Finally, GCF of Fractions for 2098/172, 9844/2021 is 2/8084.